227314642688640 has 2048 divisors, whose sum is σ = 978272443008000. Its totient is φ = 49889916223488.

The previous prime is 227314642688593. The next prime is 227314642688671. The reversal of 227314642688640 is 46886246413722.

227314642688640 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 146 + 426 + 8 + 8 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 5877236982 + ... + 5877275658.

Almost surely, 2^{227314642688640} is an apocalyptic number.

227314642688640 is a gapful number since it is divisible by the number (20) 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 227314642688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489136221504000).

227314642688640 is an abundant number, since it is smaller than the sum of its proper divisors (750957800319360).

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

227314642688640 is a wasteful number, since it uses less digits than its factorization.

227314642688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38766 (or 38736 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 227314642688640 in words is "two hundred twenty-seven trillion, three hundred fourteen billion, six hundred forty-two million, six hundred eighty-eight thousand, six hundred forty".