29106912161664 has 48 divisors (see below), whose sum is σ = 83758171718520. Its totient is φ = 9702304053504.

The previous prime is 29106912161647. The next prime is 29106912161731. The reversal of 29106912161664 is 46616121960192.

29106912161664 is a `hidden beast` number, since 2 + 9 + 1 + 0 + 6 + 9 + 12 + 1 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29106912161664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12633207252 + ... + 12633209555.

Almost surely, 2^{29106912161664} is an apocalyptic number.

29106912161664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29106912161664 is an abundant number, since it is smaller than the sum of its proper divisors (54651259556856).

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

29106912161664 is a wasteful number, since it uses less digits than its factorization.

29106912161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25266416827 (or 25266416812 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 29106912161664 in words is "twenty-nine trillion, one hundred six billion, nine hundred twelve million, one hundred sixty-one thousand, six hundred sixty-four".