342016093560960 has 2560 divisors, whose sum is σ = 1597665193850880. Its totient is φ = 67661919682560.

The previous prime is 342016093560931. The next prime is 342016093560971. The reversal of 342016093560960 is 69065390610243.

342016093560960 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 16 + 0 + 9 + 3 + 560 + 9 + 60 = 666.

It is a super-2 number, since 2×342016093560960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 342016093560897 and 342016093560906.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 21733238212 + ... + 21733253948.

It is an arithmetic number, because the mean of its divisors is an integer number (624087966348).

Almost surely, 2^{342016093560960} is an apocalyptic number.

342016093560960 is a gapful number since it is divisible by the number (30) 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 342016093560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798832596925440).

342016093560960 is an abundant number, since it is smaller than the sum of its proper divisors (1255649100289920).

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

342016093560960 is a wasteful number, since it uses less digits than its factorization.

342016093560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16076 (or 16055 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 342016093560960 in words is "three hundred forty-two trillion, sixteen billion, ninety-three million, five hundred sixty thousand, nine hundred sixty".