104443157355264 has 2160 divisors, whose sum is σ = 407516427521280. Its totient is φ = 25978419118080.

The previous prime is 104443157355263. The next prime is 104443157355323. The reversal of 104443157355264 is 462553751344401.

104443157355264 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 4 + 3 + 1 + 573 + 5 + 5 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 104443157355264.

It is not an unprimeable number, because it can be changed into a prime (104443157355263) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 154273496494 + ... + 154273497170.

Almost surely, 2^{104443157355264} is an apocalyptic number.

104443157355264 is a gapful number since it is divisible by the number (14) 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 104443157355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203758213760640).

104443157355264 is an abundant number, since it is smaller than the sum of its proper divisors (303073270166016).

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

104443157355264 is a wasteful number, since it uses less digits than its factorization.

104443157355264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 104443157355264 in words is "one hundred four trillion, four hundred forty-three billion, one hundred fifty-seven million, three hundred fifty-five thousand, two hundred sixty-four".