30151102964004 has 243 divisors, whose sum is σ = 84358879946523. Its totient is φ = 9073331704800.

The previous prime is 30151102963997. The next prime is 30151102964009. The reversal of 30151102964004 is 40046920115103.

It is a happy number.

The square root of 30151102964004 is 5491002.

It is a perfect power (a square), and thus also a powerful number.

30151102964004 is a `hidden beast` number, since 3 + 0 + 1 + 5 + 1 + 1 + 0 + 2 + 9 + 640 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30151102964004.

It is not an unprimeable number, because it can be changed into a prime (30151102964009) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 98212061619 + ... + 98212061925.

Almost surely, 2^{30151102964004} is an apocalyptic number.

30151102964004 is the 5491002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30151102964004

30151102964004 is an abundant number, since it is smaller than the sum of its proper divisors (54207776982519).

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

30151102964004 is a wasteful number, since it uses less digits than its factorization.

30151102964004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

30151102964004 divided by its sum of digits (36) gives a square (837530637889 = 915167²).

The spelling of 30151102964004 in words is "thirty trillion, one hundred fifty-one billion, one hundred two million, nine hundred sixty-four thousand, four".