1451421664 has 192 divisors, whose sum is σ = 3706601472. Its totient is φ = 543168000.

The previous prime is 1451421661. The next prime is 1451421677. The reversal of 1451421664 is 4661241541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451421661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9611989 + ... + 9612139.

It is an arithmetic number, because the mean of its divisors is an integer number (19305216).

Almost surely, 2^1451421664 is an apocalyptic number.

1451421664 is a gapful number since it is divisible by the number (14) 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 1451421664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853300736).

1451421664 is an abundant number, since it is smaller than the sum of its proper divisors (2255179808).

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

1451421664 is a wasteful number, since it uses less digits than its factorization.

1451421664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 1451421664 is about 38097.5283187768. The cubic root of 1451421664 is about 1132.2209859620.

The spelling of 1451421664 in words is "one billion, four hundred fifty-one million, four hundred twenty-one thousand, six hundred sixty-four".