9254105952 has 384 divisors, whose sum is σ = 31791513600. Its totient is φ = 2288756736.

The previous prime is 9254105951. The next prime is 9254106013. The reversal of 9254105952 is 2595014529.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9254105951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21079749 + ... + 21080187.

It is an arithmetic number, because the mean of its divisors is an integer number (82790400).

Almost surely, 2^9254105952 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 9254105952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895756800).

9254105952 is an abundant number, since it is smaller than the sum of its proper divisors (22537407648).

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

9254105952 is a wasteful number, since it uses less digits than its factorization.

9254105952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The square root of 9254105952 is about 96198.2637681159. The cubic root of 9254105952 is about 2099.4787785797.

The spelling of 9254105952 in words is "nine billion, two hundred fifty-four million, one hundred five thousand, nine hundred fifty-two".