34524254404512 has 192 divisors, whose sum is σ = 104737467985920. Its totient is φ = 11051840966400.

The previous prime is 34524254404487. The next prime is 34524254404561. The reversal of 34524254404512 is 21540445242543.

34524254404512 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 42 + 54 + 40 + 4 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1411098 + ... + 8428505.

It is an arithmetic number, because the mean of its divisors is an integer number (545507645760).

Almost surely, 2^{34524254404512} is an apocalyptic number.

34524254404512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34524254404512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52368733992960).

34524254404512 is an abundant number, since it is smaller than the sum of its proper divisors (70213213581408).

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

34524254404512 is a wasteful number, since it uses less digits than its factorization.

34524254404512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9839784 (or 9839770 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

The spelling of 34524254404512 in words is "thirty-four trillion, five hundred twenty-four billion, two hundred fifty-four million, four hundred four thousand, five hundred twelve".