342416172314412 has 72 divisors (see below), whose sum is σ = 1032211070182656. Its totient is φ = 93579575040864.

The previous prime is 342416172314351. The next prime is 342416172314459. The reversal of 342416172314412 is 214413271614243.

342416172314412 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 1 + 6 + 172 + 31 + 441 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29539001478 + ... + 29539013069.

It is an arithmetic number, because the mean of its divisors is an integer number (14336264863648).

Almost surely, 2^{342416172314412} is an apocalyptic number.

It is an amenable number.

342416172314412 is an abundant number, since it is smaller than the sum of its proper divisors (689794897868244).

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

342416172314412 is a wasteful number, since it uses less digits than its factorization.

342416172314412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59078014587 (or 59078014582 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 342416172314412 in words is "three hundred forty-two trillion, four hundred sixteen billion, one hundred seventy-two million, three hundred fourteen thousand, four hundred twelve".