815312378063904 has 768 divisors, whose sum is σ = 2652528289775616. Its totient is φ = 214168640716800.

The previous prime is 815312378063861. The next prime is 815312378063921. The reversal of 815312378063904 is 409360873213518.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50852133072 + ... + 50852149104.

It is an arithmetic number, because the mean of its divisors is an integer number (3453812877312).

It is a 1-persistent number, because it is pandigital, but 2⋅815312378063904 = 1630624756127808 is not.

Almost surely, 2^{815312378063904} is an apocalyptic number.

815312378063904 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 815312378063904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326264144887808).

815312378063904 is an abundant number, since it is smaller than the sum of its proper divisors (1837215911711712).

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

815312378063904 is a wasteful number, since it uses less digits than its factorization.

815312378063904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16821 (or 16813 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 815312378063904 in words is "eight hundred fifteen trillion, three hundred twelve billion, three hundred seventy-eight million, sixty-three thousand, nine hundred four".