104814360443520 has 4608 divisors, whose sum is σ = 495463156231680. Its totient is φ = 20946701647872.

The previous prime is 104814360443509. The next prime is 104814360443521. The reversal of 104814360443520 is 25344063418401.

104814360443520 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 1 + 4 + 3 + 604 + 4 + 35 + 2 + 0 = 666.

It is a super-2 number, since 2×104814360443520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (104814360443521) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 357728192494 + ... + 357728192786.

It is an arithmetic number, because the mean of its divisors is an integer number (107522386335).

Almost surely, 2^{104814360443520} is an apocalyptic number.

104814360443520 is a gapful number since it is divisible by the number (10) 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 104814360443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247731578115840).

104814360443520 is an abundant number, since it is smaller than the sum of its proper divisors (390648795788160).

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

104814360443520 is a wasteful number, since it uses less digits than its factorization.

104814360443520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 104814360443520 in words is "one hundred four trillion, eight hundred fourteen billion, three hundred sixty million, four hundred forty-three thousand, five hundred twenty".