814897973088 has 72 divisors (see below), whose sum is σ = 2418121178928. Its totient is φ = 259822540032.

The previous prime is 814897973081. The next prime is 814897973093. The reversal of 814897973088 is 880379798418.

814897973088 is a `hidden beast` number, since 8 + 1 + 489 + 79 + 73 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814897973081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61504395 + ... + 61517642.

It is an arithmetic number, because the mean of its divisors is an integer number (33585016374).

Almost surely, 2^814897973088 is an apocalyptic number.

It is an amenable number.

814897973088 is an abundant number, since it is smaller than the sum of its proper divisors (1603223205840).

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

814897973088 is a wasteful number, since it uses less digits than its factorization.

814897973088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123022076 (or 123022065 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 814897973088 in words is "eight hundred fourteen billion, eight hundred ninety-seven million, nine hundred seventy-three thousand, eighty-eight".