30013996283136 has 576 divisors, whose sum is σ = 91745237606400. Its totient is φ = 9674903347200.

The previous prime is 30013996283129. The next prime is 30013996283179. The reversal of 30013996283136 is 63138269931003.

30013996283136 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 3 + 9 + 9 + 628 + 3 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6086794591 + ... + 6086799521.

It is an arithmetic number, because the mean of its divisors is an integer number (159279926400).

Almost surely, 2^{30013996283136} is an apocalyptic number.

30013996283136 is a gapful number since it is divisible by the number (36) 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 30013996283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45872618803200).

30013996283136 is an abundant number, since it is smaller than the sum of its proper divisors (61731241323264).

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

30013996283136 is a wasteful number, since it uses less digits than its factorization.

30013996283136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 30013996283136 in words is "thirty trillion, thirteen billion, nine hundred ninety-six million, two hundred eighty-three thousand, one hundred thirty-six".