51641297971344 has 135 divisors (see below), whose sum is σ = 145035655431147. Its totient is φ = 17153028329472.

The previous prime is 51641297971339. The next prime is 51641297971357. The reversal of 51641297971344 is 44317979214615.

The square root of 51641297971344 is 7186188.

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

51641297971344 is a `hidden beast` number, since 5 + 1 + 6 + 412 + 97 + 97 + 1 + 3 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2744283801744 + 48897014169600 = 1656588^2 + 6992640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29060943384 + ... + 29060945160.

Almost surely, 2^{51641297971344} is an apocalyptic number.

51641297971344 is the 7186188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51641297971344

51641297971344 is an abundant number, since it is smaller than the sum of its proper divisors (93394357459803).

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

51641297971344 is an frugal number, since it uses more digits than its factorization.

51641297971344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 2119 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 51641297971344 in words is "fifty-one trillion, six hundred forty-one billion, two hundred ninety-seven million, nine hundred seventy-one thousand, three hundred forty-four".