34163641512 has 640 divisors, whose sum is σ = 132701184000. Its totient is φ = 7922188800.

The previous prime is 34163641493. The next prime is 34163641529. The reversal of 34163641512 is 21514636143.

34163641512 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 3 + 641 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×34163641512² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20107239 + ... + 20108937.

It is an arithmetic number, because the mean of its divisors is an integer number (207345600).

Almost surely, 2^34163641512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34163641512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66350592000).

34163641512 is an abundant number, since it is smaller than the sum of its proper divisors (98537542488).

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

34163641512 is a wasteful number, since it uses less digits than its factorization.

34163641512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1766 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 34163641512 in words is "thirty-four billion, one hundred sixty-three million, six hundred forty-one thousand, five hundred twelve".