30645774102000 has 320 divisors, whose sum is σ = 100054986071040. Its totient is φ = 8068689792000.

The previous prime is 30645774101993. The next prime is 30645774102017. The reversal of 30645774102000 is 20147754603.

It is a self number, because there is not a number n which added to its sum of digits gives 30645774102000.

It is a congruent number.

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, 831143565 + ... + 831180435.

It is an arithmetic number, because the mean of its divisors is an integer number (312671831472).

Almost surely, 2^{30645774102000} is an apocalyptic number.

30645774102000 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 30645774102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50027493035520).

30645774102000 is an abundant number, since it is smaller than the sum of its proper divisors (69409211969040).

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

30645774102000 is a wasteful number, since it uses less digits than its factorization.

30645774102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38649 (or 38633 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 30645774102000 in words is "thirty trillion, six hundred forty-five billion, seven hundred seventy-four million, one hundred two thousand".