29630153106864 has 140 divisors (see below), whose sum is σ = 88849815476032. Its totient is φ = 9558113788800.

The previous prime is 29630153106811. The next prime is 29630153106877. The reversal of 29630153106864 is 46860135103692.

29630153106864 is a `hidden beast` number, since 29 + 6 + 3 + 0 + 1 + 531 + 0 + 6 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 29630153106864.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40611127 + ... + 41334294.

Almost surely, 2^{29630153106864} is an apocalyptic number.

29630153106864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29630153106864 is an abundant number, since it is smaller than the sum of its proper divisors (59219662369168).

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

29630153106864 is an equidigital number, since it uses as much as digits as its factorization.

29630153106864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81945478 (or 81945457 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 29630153106864 in words is "twenty-nine trillion, six hundred thirty billion, one hundred fifty-three million, one hundred six thousand, eight hundred sixty-four".