2191332838464 has 252 divisors, whose sum is σ = 7970771051568. Its totient is φ = 569177280000.

The previous prime is 2191332838447. The next prime is 2191332838477. The reversal of 2191332838464 is 4648382331912.

2191332838464 is a `hidden beast` number, since 2 + 19 + 133 + 2 + 8 + 38 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×2191332838464² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2191332838464.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3218662 + ... + 3839589.

Almost surely, 2^{2191332838464} is an apocalyptic number.

2191332838464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2191332838464 is an abundant number, since it is smaller than the sum of its proper divisors (5779438213104).

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

2191332838464 is a wasteful number, since it uses less digits than its factorization.

2191332838464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7058294 (or 7058274 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 2191332838464 in words is "two trillion, one hundred ninety-one billion, three hundred thirty-two million, eight hundred thirty-eight thousand, four hundred sixty-four".