1414623672 has 384 divisors, whose sum is σ = 5013964800. Its totient is φ = 349747200.

The previous prime is 1414623659. The next prime is 1414623673. The reversal of 1414623672 is 2763264141.

1414623672 is a `hidden beast` number, since 1 + 414 + 6 + 236 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414623673) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15894604 + ... + 15894692.

It is an arithmetic number, because the mean of its divisors is an integer number (13057200).

Almost surely, 2^1414623672 is an apocalyptic number.

1414623672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414623672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506982400).

1414623672 is an abundant number, since it is smaller than the sum of its proper divisors (3599341128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1414623672 is a wasteful number, since it uses less digits than its factorization.

1414623672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 220 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 1414623672 is about 37611.4832464767. The cubic root of 1414623672 is about 1122.5705392318.

The spelling of 1414623672 in words is "one billion, four hundred fourteen million, six hundred twenty-three thousand, six hundred seventy-two".