104457657973968 has 1600 divisors, whose sum is σ = 359608343592960. Its totient is φ = 29003683737600.

The previous prime is 104457657973951. The next prime is 104457657973987. The reversal of 104457657973968 is 869379756754401.

104457657973968 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 5 + 7 + 6 + 579 + 7 + 39 + 6 + 8 = 666.

It is a super-2 number, since 2×104457657973968² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 121603792323 + ... + 121603793181.

Almost surely, 2^{104457657973968} is an apocalyptic number.

104457657973968 is a gapful number since it is divisible by the number (18) 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 104457657973968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179804171796480).

104457657973968 is an abundant number, since it is smaller than the sum of its proper divisors (255150685618992).

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

104457657973968 is a wasteful number, since it uses less digits than its factorization.

104457657973968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 9601804800, while the sum is 81.

The spelling of 104457657973968 in words is "one hundred four trillion, four hundred fifty-seven billion, six hundred fifty-seven million, nine hundred seventy-three thousand, nine hundred sixty-eight".