104864337732000 has 768 divisors, whose sum is σ = 442120469446656. Its totient is φ = 21087083520000.

The previous prime is 104864337731963. The next prime is 104864337732029. The reversal of 104864337732000 is 237733468401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 26813524 + ... + 30474476.

It is an arithmetic number, because the mean of its divisors is an integer number (575677694592).

Almost surely, 2^{104864337732000} is an apocalyptic number.

104864337732000 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 104864337732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221060234723328).

104864337732000 is an abundant number, since it is smaller than the sum of its proper divisors (337256131714656).

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

104864337732000 is a wasteful number, since it uses less digits than its factorization.

104864337732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661030 (or 3661012 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 104864337732000 in words is "one hundred four trillion, eight hundred sixty-four billion, three hundred thirty-seven million, seven hundred thirty-two thousand".