15345388147761 has 81 divisors (see below), whose sum is σ = 25962993497259. Its totient is φ = 8708482183968.

The previous prime is 15345388147751. The next prime is 15345388147819. The reversal of 15345388147761 is 16774188354351.

It is a happy number.

The square root of 15345388147761 is 3917319.

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

15345388147761 is a `hidden beast` number, since 1 + 5 + 3 + 45 + 388 + 147 + 76 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 679214981025 + 14666173166736 = 824145^2 + 3829644^2 .

It is not a de Polignac number, because 15345388147761 - 2⁷ = 15345388147633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (15345388147711) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13738037175 + ... + 13738038291.

Almost surely, 2^{15345388147761} is an apocalyptic number.

15345388147761 is the 3917319-th square number.

15345388147761 is the 1958660-th centered octagonal number.

It is an amenable number.

15345388147761 is a deficient number, since it is larger than the sum of its proper divisors (10617605349498).

15345388147761 is an frugal number, since it uses more digits than its factorization.

15345388147761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 1294 counting only the distinct ones).

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

The spelling of 15345388147761 in words is "fifteen trillion, three hundred forty-five billion, three hundred eighty-eight million, one hundred forty-seven thousand, seven hundred sixty-one".