361923763201 has 81 divisors (see below), whose sum is σ = 501937623369. Its totient is φ = 259891632000.

The previous prime is 361923763199. The next prime is 361923763213. The reversal of 361923763201 is 102367329163.

It is a happy number.

The square root of 361923763201 is 601601.

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

It can be written as a sum of positive squares in 4 ways, for example, as 92640625 + 361831122576 = 9625^2 + 601524^2 .

It is not a de Polignac number, because 361923763201 - 2¹ = 361923763199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (361923761201) 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, 602202301 + ... + 602202901.

Almost surely, 2^361923763201 is an apocalyptic number.

361923763201 is the 601601-st square number.

361923763201 is the 300801-st centered octagonal number.

It is an amenable number.

361923763201 is a deficient number, since it is larger than the sum of its proper divisors (140013860168).

361923763201 is an equidigital number, since it uses as much as digits as its factorization.

361923763201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 43.

The spelling of 361923763201 in words is "three hundred sixty-one billion, nine hundred twenty-three million, seven hundred sixty-three thousand, two hundred one".