1014485416 has 72 divisors (see below), whose sum is σ = 2287246410. Its totient is φ = 420598080.

The previous prime is 1014485401. The next prime is 1014485429. The reversal of 1014485416 is 6145844101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 896762916 + 117722500 = 29946^2 + 10850^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 375366 + ... + 378058.

Almost surely, 2^1014485416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014485416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143623205).

1014485416 is an abundant number, since it is smaller than the sum of its proper divisors (1272760994).

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

1014485416 is a wasteful number, since it uses less digits than its factorization.

1014485416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1014485416 is about 31850.9876769936. The cubic root of 1014485416 is about 1004.8053436848.

The spelling of 1014485416 in words is "one billion, fourteen million, four hundred eighty-five thousand, four hundred sixteen".