9150256512 has 192 divisors, whose sum is σ = 27982843200. Its totient is φ = 2861816832.

The previous prime is 9150256481. The next prime is 9150256537. The reversal of 9150256512 is 2156520519.

9150256512 is a `hidden beast` number, since 91 + 5 + 0 + 2 + 56 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×9150256512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2340063 + ... + 2343969.

It is an arithmetic number, because the mean of its divisors is an integer number (145743975).

Almost surely, 2^9150256512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9150256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13991421600).

9150256512 is an abundant number, since it is smaller than the sum of its proper divisors (18832586688).

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

9150256512 is a wasteful number, since it uses less digits than its factorization.

9150256512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 9150256512 is about 95656.9731488510. The cubic root of 9150256512 is about 2091.5957770620.

The spelling of 9150256512 in words is "nine billion, one hundred fifty million, two hundred fifty-six thousand, five hundred twelve".