30701942137856 has 176 divisors, whose sum is σ = 70022331767808. Its totient is φ = 13318488268800.

The previous prime is 30701942137847. The next prime is 30701942137921. The reversal of 30701942137856 is 65873124910703.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114635141 + ... + 114902651.

It is a 1-persistent number, because it is pandigital, but 2⋅30701942137856 = 61403884275712 is not.

Almost surely, 2^{30701942137856} 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 30701942137856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35011165883904).

30701942137856 is an abundant number, since it is smaller than the sum of its proper divisors (39320389629952).

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

30701942137856 is a wasteful number, since it uses less digits than its factorization.

30701942137856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268008 (or 267990 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 30701942137856 in words is "thirty trillion, seven hundred one billion, nine hundred forty-two million, one hundred thirty-seven thousand, eight hundred fifty-six".