10634902656 has 384 divisors, whose sum is σ = 35004441600. Its totient is φ = 2796963840.

The previous prime is 10634902643. The next prime is 10634902741. The reversal of 10634902656 is 65620943601.

10634902656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×10634902656² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 59412775 + ... + 59412953.

It is an arithmetic number, because the mean of its divisors is an integer number (91157400).

Almost surely, 2^10634902656 is an apocalyptic number.

10634902656 is a gapful number since it is divisible by the number (16) 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 10634902656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17502220800).

10634902656 is an abundant number, since it is smaller than the sum of its proper divisors (24369538944).

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

10634902656 is a wasteful number, since it uses less digits than its factorization.

10634902656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 10634902656 in words is "ten billion, six hundred thirty-four million, nine hundred two thousand, six hundred fifty-six".