901303396900 has 81 divisors (see below), whose sum is σ = 1972888864401. Its totient is φ = 357403627680.

The previous prime is 901303396897. The next prime is 901303396919. The reversal of 901303396900 is 9693303109.

The square root of 901303396900 is 949370.

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

It can be written as a sum of positive squares in only one way, i.e., 324469222884 + 576834174016 = 569622^2 + 759496^2 .

It is a super-2 number, since 2×901303396900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1319623959 + ... + 1319624641.

Almost surely, 2^901303396900 is an apocalyptic number.

901303396900 is the 949370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901303396900

901303396900 is an abundant number, since it is smaller than the sum of its proper divisors (1071585467501).

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

901303396900 is an equidigital number, since it uses as much as digits as its factorization.

901303396900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 43.

The spelling of 901303396900 in words is "nine hundred one billion, three hundred three million, three hundred ninety-six thousand, nine hundred".