2271736466496 has 840 divisors, whose sum is σ = 8530750324800. Its totient is φ = 593665873920.

The previous prime is 2271736466453. The next prime is 2271736466497. The reversal of 2271736466496 is 6946646371722.

2271736466496 is a `hidden beast` number, since 2 + 2 + 71 + 7 + 36 + 46 + 6 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2271736466497) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 139954701 + ... + 139970931.

Almost surely, 2^{2271736466496} 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 2271736466496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265375162400).

2271736466496 is an abundant number, since it is smaller than the sum of its proper divisors (6259013858304).

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

2271736466496 is a wasteful number, since it uses less digits than its factorization.

2271736466496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16317 (or 16291 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 2271736466496 in words is "two trillion, two hundred seventy-one billion, seven hundred thirty-six million, four hundred sixty-six thousand, four hundred ninety-six".