481109993927136 has 480 divisors, whose sum is σ = 1757081624094720. Its totient is φ = 126024443827200.

The previous prime is 481109993927053. The next prime is 481109993927201. The reversal of 481109993927136 is 631729399901184.

481109993927136 is a `hidden beast` number, since 4 + 8 + 1 + 10 + 9 + 99 + 392 + 7 + 136 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11822695 + ... + 33196326.

It is an arithmetic number, because the mean of its divisors is an integer number (3660586716864).

Almost surely, 2^{481109993927136} is an apocalyptic number.

It is an amenable number.

481109993927136 is an abundant number, since it is smaller than the sum of its proper divisors (1275971630167584).

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

481109993927136 is a wasteful number, since it uses less digits than its factorization.

481109993927136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45019100 (or 45019083 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 481109993927136 in words is "four hundred eighty-one trillion, one hundred nine billion, nine hundred ninety-three million, nine hundred twenty-seven thousand, one hundred thirty-six".