2913889968144 has 75 divisors (see below), whose sum is σ = 8433820820557. Its totient is φ = 971276171904.

The previous prime is 2913889968133. The next prime is 2913889968161. The reversal of 2913889968144 is 4418699883192.

The square root of 2913889968144 is 1707012.

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

2913889968144 is a `hidden beast` number, since 2 + 91 + 388 + 99 + 68 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 359928003600 + 2553961964544 = 599940^2 + 1598112^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a Duffinian number.

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, 61428724 + ... + 61476140.

Almost surely, 2^{2913889968144} is an apocalyptic number.

2913889968144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2913889968144 is the 1707012-nd square number.

It is an amenable number.

2913889968144 is an abundant number, since it is smaller than the sum of its proper divisors (5519930852413).

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

2913889968144 is an frugal number, since it uses more digits than its factorization.

2913889968144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94854 (or 47422 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 72.

The spelling of 2913889968144 in words is "two trillion, nine hundred thirteen billion, eight hundred eighty-nine million, nine hundred sixty-eight thousand, one hundred forty-four".