2168167900900 has 81 divisors (see below), whose sum is σ = 4732920251451. Its totient is φ = 862137074880.

The previous prime is 2168167900883. The next prime is 2168167900903. The reversal of 2168167900900 is 90097618612.

The square root of 2168167900900 is 1472470.

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

It can be written as a sum of positive squares in 4 ways, for example, as 295912064484 + 1872255836416 = 543978^2 + 1368304^2 .

It is a super-2 number, since 2×2168167900900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2168167900903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3371955979 + ... + 3371956621.

Almost surely, 2^{2168167900900} is an apocalyptic number.

2168167900900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2168167900900 is the 1472470-th square number.

It is an amenable number.

2168167900900 is an abundant number, since it is smaller than the sum of its proper divisors (2564752350551).

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

2168167900900 is an frugal number, since it uses more digits than its factorization.

2168167900900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

Multiplying 2168167900900 by its sum of digits (49), we get a square (106240227144100 = 10307290²).

The spelling of 2168167900900 in words is "two trillion, one hundred sixty-eight billion, one hundred sixty-seven million, nine hundred thousand, nine hundred".