864475170048 has 432 divisors, whose sum is σ = 2969179938816. Its totient is φ = 236690657280.

The previous prime is 864475170001. The next prime is 864475170061. The reversal of 864475170048 is 840071574468.

864475170048 is a `hidden beast` number, since 8 + 64 + 475 + 1 + 70 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 864475169976 and 864475170003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51488311 + ... + 51505097.

Almost surely, 2^864475170048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864475170048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484589969408).

864475170048 is an abundant number, since it is smaller than the sum of its proper divisors (2104704768768).

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

864475170048 is a wasteful number, since it uses less digits than its factorization.

864475170048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16950 (or 16933 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 864475170048 in words is "eight hundred sixty-four billion, four hundred seventy-five million, one hundred seventy thousand, forty-eight".