9251062656 has 384 divisors, whose sum is σ = 28878664320. Its totient is φ = 2599833600.

The previous prime is 9251062649. The next prime is 9251062693. The reversal of 9251062656 is 6562601529.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174548326 + ... + 174548378.

It is an arithmetic number, because the mean of its divisors is an integer number (75204855).

Almost surely, 2^9251062656 is an apocalyptic number.

9251062656 is a gapful number since it is divisible by the number (96) 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 9251062656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14439332160).

9251062656 is an abundant number, since it is smaller than the sum of its proper divisors (19627601664).

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

9251062656 is a wasteful number, since it uses less digits than its factorization.

9251062656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 9251062656 is about 96182.4446351828. Note that the first 3 decimals coincide. The cubic root of 9251062656 is about 2099.2486091851.

The spelling of 9251062656 in words is "nine billion, two hundred fifty-one million, sixty-two thousand, six hundred fifty-six".