2151312521344 has 256 divisors, whose sum is σ = 5017640140800. Its totient is φ = 899826278400.

The previous prime is 2151312521329. The next prime is 2151312521381. The reversal of 2151312521344 is 4431252131512.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3579554644 + ... + 3579555244.

It is an arithmetic number, because the mean of its divisors is an integer number (19600156800).

Almost surely, 2^{2151312521344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151312521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508820070400).

2151312521344 is an abundant number, since it is smaller than the sum of its proper divisors (2866327619456).

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

2151312521344 is a wasteful number, since it uses less digits than its factorization.

2151312521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1199 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

Adding to 2151312521344 its reverse (4431252131512), we get a palindrome (6582564652856).

The spelling of 2151312521344 in words is "two trillion, one hundred fifty-one billion, three hundred twelve million, five hundred twenty-one thousand, three hundred forty-four".