815397445152 has 384 divisors, whose sum is σ = 2626631884800. Its totient is φ = 245093299200.

The previous prime is 815397445147. The next prime is 815397445229. The reversal of 815397445152 is 251544793518.

815397445152 is a `hidden beast` number, since 8 + 1 + 53 + 9 + 74 + 4 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31029523 + ... + 31055789.

It is an arithmetic number, because the mean of its divisors is an integer number (6840187200).

Almost surely, 2^815397445152 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 815397445152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313315942400).

815397445152 is an abundant number, since it is smaller than the sum of its proper divisors (1811234439648).

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

815397445152 is a wasteful number, since it uses less digits than its factorization.

815397445152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26397 (or 26383 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 815397445152 in words is "eight hundred fifteen billion, three hundred ninety-seven million, four hundred forty-five thousand, one hundred fifty-two".