814157180928 has 1248 divisors, whose sum is σ = 3069855744000. Its totient is φ = 213032042496.

The previous prime is 814157180911. The next prime is 814157180929. The reversal of 814157180928 is 829081751418.

814157180928 is a `hidden beast` number, since 8 + 1 + 41 + 571 + 8 + 0 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is not an unprimeable number, because it can be changed into a prime (814157180929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6410686401 + ... + 6410686527.

Almost surely, 2^814157180928 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 814157180928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534927872000).

814157180928 is an abundant number, since it is smaller than the sum of its proper divisors (2255698563072).

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

814157180928 is a wasteful number, since it uses less digits than its factorization.

814157180928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 814157180928 in words is "eight hundred fourteen billion, one hundred fifty-seven million, one hundred eighty thousand, nine hundred twenty-eight".