104664451512544 has 192 divisors, whose sum is σ = 260025365376000. Its totient is φ = 40284647424000.

The previous prime is 104664451512529. The next prime is 104664451512557. The reversal of 104664451512544 is 445215154466401.

It is a junction number, because it is equal to n+sod(n) for n = 104664451512491 and 104664451512500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111271597 + ... + 112208275.

It is an arithmetic number, because the mean of its divisors is an integer number (1354298778000).

Almost surely, 2^{104664451512544} is an apocalyptic number.

104664451512544 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 104664451512544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130012682688000).

104664451512544 is an abundant number, since it is smaller than the sum of its proper divisors (155360913863456).

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

104664451512544 is a wasteful number, since it uses less digits than its factorization.

104664451512544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937257 (or 937249 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 52.

The spelling of 104664451512544 in words is "one hundred four trillion, six hundred sixty-four billion, four hundred fifty-one million, five hundred twelve thousand, five hundred forty-four".