9000915492150 has 384 divisors, whose sum is σ = 26089701580800. Its totient is φ = 2279042956800.

The previous prime is 9000915492143. The next prime is 9000915492167. The reversal of 9000915492150 is 512945190009.

9000915492150 is a `hidden beast` number, since 9 + 0 + 0 + 0 + 9 + 1 + 5 + 492 + 150 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 9000915492096 and 9000915492105.

It is a congruent number.

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, 469840372 + ... + 469859528.

It is an arithmetic number, because the mean of its divisors is an integer number (67941931200).

Almost surely, 2^{9000915492150} is an apocalyptic number.

9000915492150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000915492150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13044850790400).

9000915492150 is an abundant number, since it is smaller than the sum of its proper divisors (17088786088650).

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

9000915492150 is a wasteful number, since it uses less digits than its factorization.

9000915492150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19421 (or 19410 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 9000915492150 in words is "nine trillion, nine hundred fifteen million, four hundred ninety-two thousand, one hundred fifty".