845051848704 has 216 divisors, whose sum is σ = 2839143819330. Its totient is φ = 241443127296.

The previous prime is 845051848679. The next prime is 845051848723. The reversal of 845051848704 is 407848150548.

845051848704 is a `hidden beast` number, since 8 + 4 + 50 + 518 + 4 + 8 + 70 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 715797218304 + 129254630400 = 846048^2 + 359520^2 .

It is a super-2 number, since 2×845051848704² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 435342 + ... + 1370994.

Almost surely, 2^845051848704 is an apocalyptic number.

845051848704 is a gapful number since it is divisible by the number (84) 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 845051848704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419571909665).

845051848704 is an abundant number, since it is smaller than the sum of its proper divisors (1994091970626).

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

845051848704 is a wasteful number, since it uses less digits than its factorization.

845051848704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935695 (or 935665 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 845051848704 in words is "eight hundred forty-five billion, fifty-one million, eight hundred forty-eight thousand, seven hundred four".