4131495281664 has 297 divisors, whose sum is σ = 12344917118079. Its totient is φ = 1330789109760.

The previous prime is 4131495281593. The next prime is 4131495281681. The reversal of 4131495281664 is 4661825941314.

The square root of 4131495281664 is 2032608.

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

4131495281664 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 49 + 528 + 16 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4131495281664.

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, 6049041067 + ... + 6049041749.

Almost surely, 2^{4131495281664} is an apocalyptic number.

4131495281664 is the 2032608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131495281664

4131495281664 is an abundant number, since it is smaller than the sum of its proper divisors (8213421836415).

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

4131495281664 is an frugal number, since it uses more digits than its factorization.

4131495281664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 719 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 4131495281664 in words is "four trillion, one hundred thirty-one billion, four hundred ninety-five million, two hundred eighty-one thousand, six hundred sixty-four".