201456712900 has 18 divisors (see below), whose sum is σ = 437161067210. Its totient is φ = 80582685120.

The previous prime is 201456712823. The next prime is 201456712903. The reversal of 201456712900 is 9217654102.

It can be written as a sum of positive squares in 3 ways, for example, as 23197117636 + 178259595264 = 152306^2 + 422208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 201456712900.

It is not an unprimeable number, because it can be changed into a prime (201456712903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1007283465 + ... + 1007283664.

Almost surely, 2^201456712900 is an apocalyptic number.

201456712900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201456712900 is an abundant number, since it is smaller than the sum of its proper divisors (235704354310).

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

201456712900 is a wasteful number, since it uses less digits than its factorization.

201456712900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014567143 (or 2014567136 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 201456712900 in words is "two hundred one billion, four hundred fifty-six million, seven hundred twelve thousand, nine hundred".