901112143360900 has 27 divisors (see below), whose sum is σ = 1955414002495471. Its totient is φ = 360444737270240.

The previous prime is 901112143360867. The next prime is 901112143360951. The reversal of 901112143360900 is 9063341211109.

The square root of 901112143360900 is 30018530.

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 158665614832516 + 742446528528384 = 12596254^2 + 27247872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 298684374 + ... + 301686226.

Almost surely, 2^{901112143360900} is an apocalyptic number.

901112143360900 is the 30018530-th square number.

It is an amenable number.

901112143360900 is an abundant number, since it is smaller than the sum of its proper divisors (1054301859134571).

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

901112143360900 is an frugal number, since it uses more digits than its factorization.

901112143360900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003720 (or 3001860 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 901112143360900 in words is "nine hundred one trillion, one hundred twelve billion, one hundred forty-three million, three hundred sixty thousand, nine hundred".