845815353120 has 96 divisors (see below), whose sum is σ = 2960353751040. Its totient is φ = 225550759680.

The previous prime is 845815353107. The next prime is 845815353143. The reversal of 845815353120 is 21353518548.

845815353120 is a `hidden beast` number, since 8 + 4 + 5 + 81 + 535 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×845815353120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97890976 + ... + 97899615.

It is an arithmetic number, because the mean of its divisors is an integer number (30837018240).

Almost surely, 2^845815353120 is an apocalyptic number.

845815353120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

845815353120 is an abundant number, since it is smaller than the sum of its proper divisors (2114538397920).

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

845815353120 is a wasteful number, since it uses less digits than its factorization.

845815353120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195790615 (or 195790601 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 845815353120 in words is "eight hundred forty-five billion, eight hundred fifteen million, three hundred fifty-three thousand, one hundred twenty".