16631629056 has 432 divisors, whose sum is σ = 57579185664. Its totient is φ = 4517462016.

The previous prime is 16631629039. The next prime is 16631629073. The reversal of 16631629056 is 65092613661.

16631629056 is a `hidden beast` number, since 1 + 6 + 631 + 6 + 2 + 9 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (16631629039) and next prime (16631629073).

It is a super-2 number, since 2×16631629056² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28046296 + ... + 28046888.

It is an arithmetic number, because the mean of its divisors is an integer number (133285152).

Almost surely, 2^16631629056 is an apocalyptic number.

16631629056 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 16631629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28789592832).

16631629056 is an abundant number, since it is smaller than the sum of its proper divisors (40947556608).

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

16631629056 is a wasteful number, since it uses less digits than its factorization.

16631629056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 16631629056 in words is "sixteen billion, six hundred thirty-one million, six hundred twenty-nine thousand, fifty-six".