2167113740544 has 135 divisors (see below), whose sum is σ = 6462573213943. Its totient is φ = 722300585472.

The previous prime is 2167113740507. The next prime is 2167113740563. The reversal of 2167113740544 is 4450473117612.

The square root of 2167113740544 is 1472112.

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

2167113740544 is a `hidden beast` number, since 2 + 1 + 6 + 71 + 1 + 37 + 4 + 0 + 544 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2167113740544.

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, 211979017 + ... + 211989239.

Almost surely, 2^{2167113740544} is an apocalyptic number.

2167113740544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2167113740544 is the 1472112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2167113740544

2167113740544 is an abundant number, since it is smaller than the sum of its proper divisors (4295459473399).

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

2167113740544 is an frugal number, since it uses more digits than its factorization.

2167113740544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20474 (or 10228 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2167113740544 in words is "two trillion, one hundred sixty-seven billion, one hundred thirteen million, seven hundred forty thousand, five hundred forty-four".