34314145164 has 72 divisors (see below), whose sum is σ = 93984009392. Its totient is φ = 10493400960.

The previous prime is 34314145069. The next prime is 34314145169. The reversal of 34314145164 is 46154141343.

34314145164 is a `hidden beast` number, since 3 + 4 + 3 + 141 + 451 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34314145169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148627 + ... + 301194.

Almost surely, 2^34314145164 is an apocalyptic number.

It is an amenable number.

34314145164 is an abundant number, since it is smaller than the sum of its proper divisors (59669864228).

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

34314145164 is a wasteful number, since it uses less digits than its factorization.

34314145164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450007 (or 450002 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 34314145164 in words is "thirty-four billion, three hundred fourteen million, one hundred forty-five thousand, one hundred sixty-four".