8948757312 has 336 divisors, whose sum is σ = 29230888960. Its totient is φ = 2682408960.

The previous prime is 8948757289. The next prime is 8948757329. The reversal of 8948757312 is 2137578498.

It is a happy number.

8948757312 is a `hidden beast` number, since 89 + 487 + 5 + 73 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3386880) is a multiple of the sum of its prime divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 26554008 + ... + 26554344.

Almost surely, 2^8948757312 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 8948757312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14615444480).

8948757312 is an abundant number, since it is smaller than the sum of its proper divisors (20282131648).

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

8948757312 is a wasteful number, since it uses less digits than its factorization.

8948757312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 480 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 8948757312 is about 94597.8716039637. The cubic root of 8948757312 is about 2076.1285629894.

The spelling of 8948757312 in words is "eight billion, nine hundred forty-eight million, seven hundred fifty-seven thousand, three hundred twelve".