36499720401 has 27 divisors (see below), whose sum is σ = 54012891387. Its totient is φ = 23751211680.

The previous prime is 36499720339. The next prime is 36499720451. The reversal of 36499720401 is 10402799463.

It is a happy number.

The square root of 36499720401 is 191049.

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

36499720401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15625250001 + 20874470400 = 125001^2 + 144480^2 .

It is not a de Polignac number, because 36499720401 - 2²⁷ = 36365502673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36499720451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24644581 + ... + 24646061.

Almost surely, 2^36499720401 is an apocalyptic number.

36499720401 is the 191049-th square number.

36499720401 is the 95525-th centered octagonal number.

It is an amenable number.

36499720401 is a deficient number, since it is larger than the sum of its proper divisors (17513170986).

36499720401 is an frugal number, since it uses more digits than its factorization.

36499720401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

It can be divided in two parts, 36499 and 720401, that added together give a square (756900 = 870²).

The spelling of 36499720401 in words is "thirty-six billion, four hundred ninety-nine million, seven hundred twenty thousand, four hundred one".