2170931134464 has 225 divisors, whose sum is σ = 6490868800647. Its totient is φ = 723077922816.

The previous prime is 2170931134423. The next prime is 2170931134499. The reversal of 2170931134464 is 4644311390712.

It is a happy number.

The square root of 2170931134464 is 1473408.

It is a perfect power (a square), and thus also a powerful number.

2170931134464 is a `hidden beast` number, since 2 + 1 + 7 + 0 + 93 + 113 + 446 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1697365377 + ... + 1697366655.

Almost surely, 2^{2170931134464} is an apocalyptic number.

2170931134464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2170931134464 is the 1473408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2170931134464

2170931134464 is an abundant number, since it is smaller than the sum of its proper divisors (4319937666183).

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

2170931134464 is an frugal number, since it uses more digits than its factorization.

2170931134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2170931134464 in words is "two trillion, one hundred seventy billion, nine hundred thirty-one million, one hundred thirty-four thousand, four hundred sixty-four".