814649090214960 has 5760 divisors, whose sum is σ = 4154013988945920. Its totient is φ = 144616331059200.

The previous prime is 814649090214941. The next prime is 814649090214961. The reversal of 814649090214960 is 69412090946418.

814649090214960 is a `hidden beast` number, since 8 + 1 + 46 + 490 + 9 + 0 + 2 + 1 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (814649090214961) by changing a digit.

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 1151 ways as a sum of consecutive naturals, for example, 140287424377 + ... + 140287430183.

It is an arithmetic number, because the mean of its divisors is an integer number (721182984192).

Almost surely, 2^{814649090214960} is an apocalyptic number.

814649090214960 is a gapful number since it is divisible by the number (80) 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 814649090214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077006994472960).

814649090214960 is an abundant number, since it is smaller than the sum of its proper divisors (3339364898730960).

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

814649090214960 is a wasteful number, since it uses less digits than its factorization.

814649090214960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 814649090214960 in words is "eight hundred fourteen trillion, six hundred forty-nine billion, ninety million, two hundred fourteen thousand, nine hundred sixty".