16629461856 has 72 divisors (see below), whose sum is σ = 54045757584. Its totient is φ = 4751274240.

The previous prime is 16629461813. The next prime is 16629461857. The reversal of 16629461856 is 65816492661.

16629461856 is a `hidden beast` number, since 1 + 6 + 629 + 4 + 6 + 1 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×16629461856³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16629461857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4122355 + ... + 4126386.

It is an arithmetic number, because the mean of its divisors is an integer number (750635522).

Almost surely, 2^16629461856 is an apocalyptic number.

16629461856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16629461856 is an abundant number, since it is smaller than the sum of its proper divisors (37416295728).

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

16629461856 is a wasteful number, since it uses less digits than its factorization.

16629461856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248764 (or 8248753 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

It can be divided in two parts, 166294 and 61856, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 16629461856 in words is "sixteen billion, six hundred twenty-nine million, four hundred sixty-one thousand, eight hundred fifty-six".