15146893393801 has 15 divisors (see below), whose sum is σ = 16409802886611. Its totient is φ = 13981140611568.

The previous prime is 15146893393789. The next prime is 15146893393897. The reversal of 15146893393801 is 10839339864151.

It is a happy number.

The square root of 15146893393801 is 3891901.

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

It can be written as a sum of positive squares in 7 ways, for example, as 11851143617401 + 3295749776400 = 3442549^2 + 1815420^2 .

It is not a de Polignac number, because 15146893393801 - 2²³ = 15146885005193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15146893393801.

It is not an unprimeable number, because it can be changed into a prime (15146893393001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 657719755 + ... + 657742783.

Almost surely, 2^{15146893393801} is an apocalyptic number.

15146893393801 is the 3891901-st square number.

15146893393801 is the 1945951-st centered octagonal number.

It is an amenable number.

15146893393801 is a deficient number, since it is larger than the sum of its proper divisors (1262909492810).

15146893393801 is an frugal number, since it uses more digits than its factorization.

15146893393801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46110 (or 23042 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 61.

The spelling of 15146893393801 in words is "fifteen trillion, one hundred forty-six billion, eight hundred ninety-three million, three hundred ninety-three thousand, eight hundred one".