10982434656 has 72 divisors (see below), whose sum is σ = 30624539400. Its totient is φ = 3445460992.

The previous prime is 10982434643. The next prime is 10982434667. The reversal of 10982434656 is 65643428901.

It is a super-2 number, since 2×10982434656² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170181 + ... + 225668.

It is an arithmetic number, because the mean of its divisors is an integer number (425340825).

Almost surely, 2^10982434656 is an apocalyptic number.

10982434656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10982434656 is an abundant number, since it is smaller than the sum of its proper divisors (19642104744).

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

10982434656 is a wasteful number, since it uses less digits than its factorization.

10982434656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395896 (or 395871 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 10982434656 in words is "ten billion, nine hundred eighty-two million, four hundred thirty-four thousand, six hundred fifty-six".