104612166247680 has 6048 divisors, whose sum is σ = 507029860310400. Its totient is φ = 20424990523392.

The previous prime is 104612166247627. The next prime is 104612166247709. The reversal of 104612166247680 is 86742661216401.

104612166247680 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 1 + 2 + 1 + 6 + 624 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×104612166247680² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 666319530162 + ... + 666319530318.

It is an arithmetic number, because the mean of its divisors is an integer number (83834302300).

Almost surely, 2^{104612166247680} is an apocalyptic number.

104612166247680 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 104612166247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253514930155200).

104612166247680 is an abundant number, since it is smaller than the sum of its proper divisors (402417694062720).

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

104612166247680 is a wasteful number, since it uses less digits than its factorization.

104612166247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 104612166247680 in words is "one hundred four trillion, six hundred twelve billion, one hundred sixty-six million, two hundred forty-seven thousand, six hundred eighty".