2253937721344 has 135 divisors (see below), whose sum is σ = 4647522157383. Its totient is φ = 1093051219968.

The previous prime is 2253937721341. The next prime is 2253937721377. The reversal of 2253937721344 is 4431277393522.

The square root of 2253937721344 is 1501312.

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 18793119744 + 2235144601600 = 137088^2 + 1495040^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2253937721291 and 2253937721300.

It is not an unprimeable number, because it can be changed into a prime (2253937721341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7110213474 + ... + 7110213790.

Almost surely, 2^{2253937721344} is an apocalyptic number.

2253937721344 is the 1501312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253937721344

2253937721344 is an abundant number, since it is smaller than the sum of its proper divisors (2393584436039).

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

2253937721344 is an frugal number, since it uses more digits than its factorization.

2253937721344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 356 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 52.

The spelling of 2253937721344 in words is "two trillion, two hundred fifty-three billion, nine hundred thirty-seven million, seven hundred twenty-one thousand, three hundred forty-four".