29314861056 has 576 divisors, whose sum is σ = 98736019200. Its totient is φ = 8302362624.

The previous prime is 29314861031. The next prime is 29314861063. The reversal of 29314861056 is 65016841392.

29314861056 is a `hidden beast` number, since 29 + 3 + 1 + 4 + 8 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×29314861056² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213977020 + ... + 213977156.

It is an arithmetic number, because the mean of its divisors is an integer number (171416700).

Almost surely, 2^29314861056 is an apocalyptic number.

29314861056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29314861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49368009600).

29314861056 is an abundant number, since it is smaller than the sum of its proper divisors (69421158144).

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

29314861056 is a wasteful number, since it uses less digits than its factorization.

29314861056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 29314861056 in words is "twenty-nine billion, three hundred fourteen million, eight hundred sixty-one thousand, fifty-six".