104061574132992 has 1152 divisors, whose sum is σ = 391033094144000. Its totient is φ = 26624197877760.

The previous prime is 104061574132987. The next prime is 104061574133063. The reversal of 104061574132992 is 299231475160401.

104061574132992 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 61 + 574 + 1 + 3 + 2 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×104061574132992² (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 127 ways as a sum of consecutive naturals, for example, 1225379109 + ... + 1225464027.

Almost surely, 2^{104061574132992} is an apocalyptic number.

104061574132992 is a gapful number since it is divisible by the number (12) 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 104061574132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195516547072000).

104061574132992 is an abundant number, since it is smaller than the sum of its proper divisors (286971520011008).

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

104061574132992 is a wasteful number, since it uses less digits than its factorization.

104061574132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85044 (or 85024 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 104061574132992 in words is "one hundred four trillion, sixty-one billion, five hundred seventy-four million, one hundred thirty-two thousand, nine hundred ninety-two".