2172352043664 has 120 divisors (see below), whose sum is σ = 6635408592384. Its totient is φ = 657975648000.

The previous prime is 2172352043663. The next prime is 2172352043717. The reversal of 2172352043664 is 4663402532712.

2172352043664 is a `hidden beast` number, since 2 + 1 + 7 + 23 + 520 + 43 + 6 + 64 = 666.

It is a super-2 number, since 2×2172352043664² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2172352043663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3018994 + ... + 3668654.

Almost surely, 2^{2172352043664} is an apocalyptic number.

2172352043664 is a gapful number since it is divisible by the number (24) 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 2172352043664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317704296192).

2172352043664 is an abundant number, since it is smaller than the sum of its proper divisors (4463056548720).

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

2172352043664 is a wasteful number, since it uses less digits than its factorization.

2172352043664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651797 (or 651788 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2172352043664 in words is "two trillion, one hundred seventy-two billion, three hundred fifty-two million, forty-three thousand, six hundred sixty-four".