815164011906048 has 308 divisors, whose sum is σ = 2792206073898880. Its totient is φ = 232904001908736.

The previous prime is 815164011906047. The next prime is 815164011906061. The reversal of 815164011906048 is 840609110461518.

815164011906048 is a `hidden beast` number, since 8 + 1 + 5 + 1 + 6 + 401 + 190 + 6 + 0 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 815164011905985 and 815164011906003.

It is not an unprimeable number, because it can be changed into a prime (815164011906047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 72773608 + ... + 83224551.

Almost surely, 2^{815164011906048} is an apocalyptic number.

It is an amenable number.

815164011906048 is an abundant number, since it is smaller than the sum of its proper divisors (1977042061992832).

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

815164011906048 is an equidigital number, since it uses as much as digits as its factorization.

815164011906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155998204 (or 155998171 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 815164011906048 in words is "eight hundred fifteen trillion, one hundred sixty-four billion, eleven million, nine hundred six thousand, forty-eight".