34249554225432 has 192 divisors, whose sum is σ = 120173874912000. Its totient is φ = 8557436305152.

The previous prime is 34249554225431. The next prime is 34249554225437. The reversal of 34249554225432 is 23452245594243.

34249554225432 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 9 + 55 + 42 + 2 + 543 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34249554225431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137437182 + ... + 137686157.

It is an arithmetic number, because the mean of its divisors is an integer number (625905598500).

Almost surely, 2^{34249554225432} is an apocalyptic number.

It is an amenable number.

34249554225432 is an abundant number, since it is smaller than the sum of its proper divisors (85924320686568).

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

34249554225432 is a wasteful number, since it uses less digits than its factorization.

34249554225432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275123390 (or 275123383 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 54.

The spelling of 34249554225432 in words is "thirty-four trillion, two hundred forty-nine billion, five hundred fifty-four million, two hundred twenty-five thousand, four hundred thirty-two".