34056164043 has 64 divisors (see below), whose sum is σ = 55997706240. Its totient is φ = 20284128000.

The previous prime is 34056164033. The next prime is 34056164057. The reversal of 34056164043 is 34046165043.

34056164043 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 6 + 1 + 640 + 4 + 3 = 666.

It is not a de Polignac number, because 34056164043 - 2⁶ = 34056163979 is a prime.

It is a super-2 number, since 2×34056164043² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34056163989 and 34056164007.

It is not an unprimeable number, because it can be changed into a prime (34056164033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4105446 + ... + 4113732.

It is an arithmetic number, because the mean of its divisors is an integer number (874964160).

Almost surely, 2^34056164043 is an apocalyptic number.

34056164043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34056164043 is a deficient number, since it is larger than the sum of its proper divisors (21941542197).

34056164043 is a wasteful number, since it uses less digits than its factorization.

34056164043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8545 (or 8539 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34056164043 in words is "thirty-four billion, fifty-six million, one hundred sixty-four thousand, forty-three".