29972408814 has 24 divisors (see below), whose sum is σ = 65315602872. Its totient is φ = 9933051600.

The previous prime is 29972408771. The next prime is 29972408821. The reversal of 29972408814 is 41880427992.

29972408814 is a `hidden beast` number, since 2 + 99 + 72 + 408 + 81 + 4 = 666.

It is a super-2 number, since 2×29972408814² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

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, 4809412 + ... + 4815639.

It is an arithmetic number, because the mean of its divisors is an integer number (2721483453).

Almost surely, 2^29972408814 is an apocalyptic number.

29972408814 is an abundant number, since it is smaller than the sum of its proper divisors (35343194058).

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

29972408814 is a wasteful number, since it uses less digits than its factorization.

29972408814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9625232 (or 9625229 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 29972408814 in words is "twenty-nine billion, nine hundred seventy-two million, four hundred eight thousand, eight hundred fourteen".