814740099264 has 1120 divisors, whose sum is σ = 3313607109120. Its totient is φ = 191556845568.

The previous prime is 814740099233. The next prime is 814740099269. The reversal of 814740099264 is 462990047418.

814740099264 is a `hidden beast` number, since 8 + 147 + 400 + 9 + 92 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 814740099264.

It is not an unprimeable number, because it can be changed into a prime (814740099269) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 152370639 + ... + 152375985.

It is an arithmetic number, because the mean of its divisors is an integer number (2958577776).

Almost surely, 2^814740099264 is an apocalyptic number.

814740099264 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 814740099264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656803554560).

814740099264 is an abundant number, since it is smaller than the sum of its proper divisors (2498867009856).

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

814740099264 is a wasteful number, since it uses less digits than its factorization.

814740099264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 814740099264 in words is "eight hundred fourteen billion, seven hundred forty million, ninety-nine thousand, two hundred sixty-four".