30157314003768 has 192 divisors, whose sum is σ = 88407603671040. Its totient is φ = 8547114110976.

The previous prime is 30157314003767. The next prime is 30157314003781. The reversal of 30157314003768 is 86730041375103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30157314003767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1180913496 + ... + 1180939032.

It is an arithmetic number, because the mean of its divisors is an integer number (460456269120).

Almost surely, 2^{30157314003768} 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 30157314003768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44203801835520).

30157314003768 is an abundant number, since it is smaller than the sum of its proper divisors (58250289667272).

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

30157314003768 is a wasteful number, since it uses less digits than its factorization.

30157314003768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33594 (or 33583 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 30157314003768 in words is "thirty trillion, one hundred fifty-seven billion, three hundred fourteen million, three thousand, seven hundred sixty-eight".