9254117376 has 448 divisors, whose sum is σ = 32294169600. Its totient is φ = 2563964928.

The previous prime is 9254117347. The next prime is 9254117407. The reversal of 9254117376 is 6737114529.

9254117376 is a `hidden beast` number, since 92 + 541 + 17 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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, 66576315 + ... + 66576453.

It is an arithmetic number, because the mean of its divisors is an integer number (72085200).

Almost surely, 2^9254117376 is an apocalyptic number.

9254117376 is a gapful number since it is divisible by the number (96) 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 9254117376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16147084800).

9254117376 is an abundant number, since it is smaller than the sum of its proper divisors (23040052224).

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

9254117376 is a wasteful number, since it uses less digits than its factorization.

9254117376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 194 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 9254117376 is about 96198.3231454686. The cubic root of 9254117376 is about 2099.4796425002.

The spelling of 9254117376 in words is "nine billion, two hundred fifty-four million, one hundred seventeen thousand, three hundred seventy-six".