29314918656 has 405 divisors, whose sum is σ = 92791822123. Its totient is φ = 9204572160.

The previous prime is 29314918649. The next prime is 29314918673. The reversal of 29314918656 is 65681941392.

The square root of 29314918656 is 171216.

It is a perfect power (a square), and thus also a powerful number.

29314918656 is a `hidden beast` number, since 2 + 93 + 1 + 491 + 8 + 65 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7741184256 + 21573734400 = 87984^2 + 146880^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 714997996 + ... + 714998036.

Almost surely, 2^29314918656 is an apocalyptic number.

29314918656 is the 171216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29314918656

29314918656 is an abundant number, since it is smaller than the sum of its proper divisors (63476903467).

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

29314918656 is an frugal number, since it uses more digits than its factorization.

29314918656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 75 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 29314918656 in words is "twenty-nine billion, three hundred fourteen million, nine hundred eighteen thousand, six hundred fifty-six".