104411522185776 has 2160 divisors, whose sum is σ = 359988798929760. Its totient is φ = 29241442713600.

The previous prime is 104411522185771. The next prime is 104411522185781. The reversal of 104411522185776 is 677581225114401.

104411522185776 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 1 + 1 + 52 + 2 + 18 + 577 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (104411522185771) and next prime (104411522185781).

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

It is not an unprimeable number, because it can be changed into a prime (104411522185771) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 957903873210 + ... + 957903873318.

It is an arithmetic number, because the mean of its divisors is an integer number (166661480986).

Almost surely, 2^{104411522185776} is an apocalyptic number.

104411522185776 is a gapful number since it is divisible by the number (16) 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 104411522185776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179994399464880).

104411522185776 is an abundant number, since it is smaller than the sum of its proper divisors (255577276743984).

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

104411522185776 is a wasteful number, since it uses less digits than its factorization.

104411522185776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 104411522185776 in words is "one hundred four trillion, four hundred eleven billion, five hundred twenty-two million, one hundred eighty-five thousand, seven hundred seventy-six".