34154194464 has 72 divisors (see below), whose sum is σ = 104597232012. Its totient is φ = 10508981760.

The previous prime is 34154194433. The next prime is 34154194493. The reversal of 34154194464 is 46449145143.

34154194464 is a `hidden beast` number, since 3 + 4 + 1 + 541 + 9 + 44 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33669314064 + 484880400 = 183492^2 + 22020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4557447 + ... + 4564934.

Almost surely, 2^34154194464 is an apocalyptic number.

It is an amenable number.

34154194464 is an abundant number, since it is smaller than the sum of its proper divisors (70443037548).

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

34154194464 is a wasteful number, since it uses less digits than its factorization.

34154194464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9122410 (or 9122399 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 34154194464 in words is "thirty-four billion, one hundred fifty-four million, one hundred ninety-four thousand, four hundred sixty-four".