36402748173961 has 45 divisors (see below), whose sum is σ = 41643197991441. Its totient is φ = 31817040227856.

The previous prime is 36402748173949. The next prime is 36402748173983. The reversal of 36402748173961 is 16937184720463.

The square root of 36402748173961 is 6033469.

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

It can be written as a sum of positive squares in 2 ways, for example, as 18049063999561 + 18353684174400 = 4248419^2 + 4284120^2 .

It is not a de Polignac number, because 36402748173961 - 2¹³ = 36402748165769 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 36402748173961.

It is not an unprimeable number, because it can be changed into a prime (36402748173661) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19373468020 + ... + 19373469898.

Almost surely, 2^{36402748173961} is an apocalyptic number.

36402748173961 is the 6033469-th square number.

36402748173961 is the 3016735-th centered octagonal number.

It is an amenable number.

36402748173961 is a deficient number, since it is larger than the sum of its proper divisors (5240449817480).

36402748173961 is an frugal number, since it uses more digits than its factorization.

36402748173961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 61.

The spelling of 36402748173961 in words is "thirty-six trillion, four hundred two billion, seven hundred forty-eight million, one hundred seventy-three thousand, nine hundred sixty-one".