104615572332544 has 1120 divisors, whose sum is σ = 285583885011936. Its totient is φ = 37937102192640.

The previous prime is 104615572332521. The next prime is 104615572332547. The reversal of 104615572332544 is 445233275516401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 104615572332491 and 104615572332500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104615572332547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178220736219 + ... + 178220736805.

Almost surely, 2^{104615572332544} is an apocalyptic number.

104615572332544 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 104615572332544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142791942505968).

104615572332544 is an abundant number, since it is smaller than the sum of its proper divisors (180968312679392).

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

104615572332544 is an frugal number, since it uses more digits than its factorization.

104615572332544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 52.

The spelling of 104615572332544 in words is "one hundred four trillion, six hundred fifteen billion, five hundred seventy-two million, three hundred thirty-two thousand, five hundred forty-four".