34131166056 has 48 divisors (see below), whose sum is σ = 99549237060. Its totient is φ = 10501896960.

The previous prime is 34131166051. The next prime is 34131166073. The reversal of 34131166056 is 65066113143.

34131166056 is a `hidden beast` number, since 3 + 4 + 1 + 31 + 16 + 605 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27844261956 + 6286904100 = 166866^2 + 79290^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34131166056.

It is not an unprimeable number, because it can be changed into a prime (34131166051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18231525 + ... + 18233396.

Almost surely, 2^34131166056 is an apocalyptic number.

34131166056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34131166056 is an abundant number, since it is smaller than the sum of its proper divisors (65418071004).

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

34131166056 is a wasteful number, since it uses less digits than its factorization.

34131166056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36464946 (or 36464939 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 34131166056 its reverse (65066113143), we get a palindrome (99197279199).

The spelling of 34131166056 in words is "thirty-four billion, one hundred thirty-one million, one hundred sixty-six thousand, fifty-six".