104540867488512 has 1152 divisors, whose sum is σ = 403070965606400. Its totient is φ = 25953265188864.

The previous prime is 104540867488399. The next prime is 104540867488529. The reversal of 104540867488512 is 215884768045401.

104540867488512 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 40 + 8 + 6 + 74 + 8 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 104540867488512.

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 127 ways as a sum of consecutive naturals, for example, 1876255278 + ... + 1876310994.

Almost surely, 2^{104540867488512} is an apocalyptic number.

104540867488512 is a gapful number since it is divisible by the number (12) 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 104540867488512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201535482803200).

104540867488512 is an abundant number, since it is smaller than the sum of its proper divisors (298530098117888).

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

104540867488512 is a wasteful number, since it uses less digits than its factorization.

104540867488512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55938 (or 55918 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 104540867488512 in words is "one hundred four trillion, five hundred forty billion, eight hundred sixty-seven million, four hundred eighty-eight thousand, five hundred twelve".