15745984270641 has 81 divisors (see below), whose sum is σ = 24013655180697. Its totient is φ = 9941571628560.

The previous prime is 15745984270633. The next prime is 15745984270649. The reversal of 15745984270641 is 14607248954751.

It is a happy number.

The square root of 15745984270641 is 3968121.

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

15745984270641 is a `hidden beast` number, since 1 + 57 + 459 + 8 + 4 + 2 + 70 + 64 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (15745984270633) and next prime (15745984270649).

It is not a de Polignac number, because 15745984270641 - 2³ = 15745984270633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15745984270649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35867845500 + ... + 35867845938.

Almost surely, 2^{15745984270641} is an apocalyptic number.

15745984270641 is the 3968121-st square number.

15745984270641 is the 1984061-st centered octagonal number.

It is an amenable number.

15745984270641 is a deficient number, since it is larger than the sum of its proper divisors (8267670910056).

15745984270641 is an frugal number, since it uses more digits than its factorization.

15745984270641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 15745984270641 in words is "fifteen trillion, seven hundred forty-five billion, nine hundred eighty-four million, two hundred seventy thousand, six hundred forty-one".