36399140248900 has 243 divisors, whose sum is σ = 94033903614903. Its totient is φ = 12214997308800.

The previous prime is 36399140248831. The next prime is 36399140248901. The reversal of 36399140248900 is 984204199363.

The square root of 36399140248900 is 6033170.

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 9381932244036 + 27017208004864 = 3062994^2 + 5197808^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36399140248901) 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, 8627430991 + ... + 8627435209.

Almost surely, 2^{36399140248900} is an apocalyptic number.

36399140248900 is the 6033170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36399140248900

36399140248900 is an abundant number, since it is smaller than the sum of its proper divisors (57634763366003).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36399140248900 is a wasteful number, since it uses less digits than its factorization.

36399140248900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 58.

The spelling of 36399140248900 in words is "thirty-six trillion, three hundred ninety-nine billion, one hundred forty million, two hundred forty-eight thousand, nine hundred".