814152677500 has 240 divisors, whose sum is σ = 1895705779968. Its totient is φ = 305198784000.

The previous prime is 814152677497. The next prime is 814152677501. The reversal of 814152677500 is 5776251418.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814152677501) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 897632047 + ... + 897632953.

Almost surely, 2^814152677500 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 814152677500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947852889984).

814152677500 is an abundant number, since it is smaller than the sum of its proper divisors (1081553102468).

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

814152677500 is a wasteful number, since it uses less digits than its factorization.

814152677500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 46.

The spelling of 814152677500 in words is "eight hundred fourteen billion, one hundred fifty-two million, six hundred seventy-seven thousand, five hundred".