104414850816 has 144 divisors (see below), whose sum is σ = 309729772800. Its totient is φ = 31033442304.

The previous prime is 104414850809. The next prime is 104414850851. The reversal of 104414850816 is 618058414401.

It is a super-2 number, since 2×104414850816² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37605 + ... + 458523.

It is an arithmetic number, because the mean of its divisors is an integer number (2150901200).

Almost surely, 2^104414850816 is an apocalyptic number.

104414850816 is a gapful number since it is divisible by the number (16) 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 104414850816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154864886400).

104414850816 is an abundant number, since it is smaller than the sum of its proper divisors (205314921984).

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

104414850816 is a wasteful number, since it uses less digits than its factorization.

104414850816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420974 (or 420960 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 104414850816 in words is "one hundred four billion, four hundred fourteen million, eight hundred fifty thousand, eight hundred sixteen".