30638964842496 has 336 divisors, whose sum is σ = 92598144073344. Its totient is φ = 10122533535744.

The previous prime is 30638964842491. The next prime is 30638964842527. The reversal of 30638964842496 is 69424846983603.

30638964842496 is a `hidden beast` number, since 3 + 0 + 6 + 3 + 8 + 96 + 4 + 8 + 42 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (30638964842491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224876025 + ... + 225012231.

It is an arithmetic number, because the mean of its divisors is an integer number (275589714504).

Almost surely, 2^{30638964842496} is an apocalyptic number.

30638964842496 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 30638964842496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46299072036672).

30638964842496 is an abundant number, since it is smaller than the sum of its proper divisors (61959179230848).

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

30638964842496 is an equidigital number, since it uses as much as digits as its factorization.

30638964842496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136361 (or 136325 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 72.

The spelling of 30638964842496 in words is "thirty trillion, six hundred thirty-eight billion, nine hundred sixty-four million, eight hundred forty-two thousand, four hundred ninety-six".