30904553344896 has 1728 divisors, whose sum is σ = 119139507527040. Its totient is φ = 7944337336320.

The previous prime is 30904553344879. The next prime is 30904553344909. The reversal of 30904553344896 is 69844335540903.

30904553344896 is a `hidden beast` number, since 3 + 0 + 9 + 0 + 4 + 5 + 533 + 4 + 4 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18994807635 + ... + 18994809261.

Almost surely, 2^{30904553344896} is an apocalyptic number.

30904553344896 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 30904553344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59569753763520).

30904553344896 is an abundant number, since it is smaller than the sum of its proper divisors (88234954182144).

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

30904553344896 is a wasteful number, since it uses less digits than its factorization.

30904553344896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 30904553344896 in words is "thirty trillion, nine hundred four billion, five hundred fifty-three million, three hundred forty-four thousand, eight hundred ninety-six".