815229312048 has 120 divisors (see below), whose sum is σ = 2366407946448. Its totient is φ = 271697421312.

The previous prime is 815229312019. The next prime is 815229312061. The reversal of 815229312048 is 840213922518.

815229312048 is a `hidden beast` number, since 8 + 152 + 293 + 1 + 204 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 815229311994 and 815229312012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29445540 + ... + 29473212.

Almost surely, 2^815229312048 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 815229312048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183203973224).

815229312048 is an abundant number, since it is smaller than the sum of its proper divisors (1551178634400).

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

815229312048 is a wasteful number, since it uses less digits than its factorization.

815229312048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35273 (or 35255 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 815229312048 in words is "eight hundred fifteen billion, two hundred twenty-nine million, three hundred twelve thousand, forty-eight".