9154251072 has 224 divisors, whose sum is σ = 28613811200. Its totient is φ = 2861692416.

The previous prime is 9154251011. The next prime is 9154251083. The reversal of 9154251072 is 2701524519.

9154251072 is a `hidden beast` number, since 9 + 1 + 542 + 5 + 107 + 2 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3380343 + ... + 3383049.

Almost surely, 2^9154251072 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 9154251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306905600).

9154251072 is an abundant number, since it is smaller than the sum of its proper divisors (19459560128).

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

9154251072 is a wasteful number, since it uses less digits than its factorization.

9154251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 9154251072 is about 95677.8504775269. The cubic root of 9154251072 is about 2091.9000960106.

The spelling of 9154251072 in words is "nine billion, one hundred fifty-four million, two hundred fifty-one thousand, seventy-two".