900900908964 has 405 divisors, whose sum is σ = 2842568499771. Its totient is φ = 249097025520.

The previous prime is 900900908953. The next prime is 900900908969. The reversal of 900900908964 is 469809009009.

It is a happy number.

The square root of 900900908964 is 949158.

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

900900908964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×900900908964² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 900900908964.

It is not an unprimeable number, because it can be changed into a prime (900900908969) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 29061319629 + ... + 29061319659.

Almost surely, 2^900900908964 is an apocalyptic number.

900900908964 is the 949158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900900908964

900900908964 is an abundant number, since it is smaller than the sum of its proper divisors (1941667590807).

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

900900908964 is an frugal number, since it uses more digits than its factorization.

900900908964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 900900908964 in words is "nine hundred billion, nine hundred million, nine hundred eight thousand, nine hundred sixty-four".