30745690608192 has 448 divisors, whose sum is σ = 102260887289856. Its totient is φ = 7950056325120.

The previous prime is 30745690608169. The next prime is 30745690608211. The reversal of 30745690608192 is 29180609654703.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111062973 + ... + 111339459.

It is a 1-persistent number, because it is pandigital, but 2⋅30745690608192 = 61491381216384 is not.

Almost surely, 2^{30745690608192} is an apocalyptic number.

30745690608192 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 30745690608192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51130443644928).

30745690608192 is an abundant number, since it is smaller than the sum of its proper divisors (71515196681664).

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

30745690608192 is a wasteful number, since it uses less digits than its factorization.

30745690608192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276714 (or 276704 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 30745690608192 in words is "thirty trillion, seven hundred forty-five billion, six hundred ninety million, six hundred eight thousand, one hundred ninety-two".