900149273438220 has 576 divisors, whose sum is σ = 3185694389928960. Its totient is φ = 203867870976000.

The previous prime is 900149273438167. The next prime is 900149273438263. The reversal of 900149273438220 is 22834372941009.

It is a happy number.

900149273438220 is a `hidden beast` number, since 9 + 0 + 0 + 1 + 492 + 73 + 4 + 3 + 82 + 2 + 0 = 666.

It is a super-3 number, since 3×900149273438220³ (a number of 46 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209368170 + ... + 213624270.

It is an arithmetic number, because the mean of its divisors is an integer number (5530719426960).

Almost surely, 2^{900149273438220} is an apocalyptic number.

900149273438220 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900149273438220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592847194964480).

900149273438220 is an abundant number, since it is smaller than the sum of its proper divisors (2285545116490740).

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

900149273438220 is a wasteful number, since it uses less digits than its factorization.

900149273438220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256286 (or 4256281 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 900149273438220 in words is "nine hundred trillion, one hundred forty-nine billion, two hundred seventy-three million, four hundred thirty-eight thousand, two hundred twenty".