845514650352800 has 72 divisors (see below), whose sum is σ = 2172750147590400. Its totient is φ = 320405551706880.

The previous prime is 845514650352791. The next prime is 845514650352829. The reversal of 845514650352800 is 8253056415548.

It is a happy number.

It is a super-2 number, since 2×845514650352800² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27812966720 + ... + 27812997119.

It is an arithmetic number, because the mean of its divisors is an integer number (30177085383200).

Almost surely, 2^{845514650352800} is an apocalyptic number.

845514650352800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

845514650352800 is an abundant number, since it is smaller than the sum of its proper divisors (1327235497237600).

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

845514650352800 is a wasteful number, since it uses less digits than its factorization.

845514650352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55625963878 (or 55625963865 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 56.

The spelling of 845514650352800 in words is "eight hundred forty-five trillion, five hundred fourteen billion, six hundred fifty million, three hundred fifty-two thousand, eight hundred".