8854965504 has 864 divisors, whose sum is σ = 34896476160. Its totient is φ = 2090188800.

The previous prime is 8854965439. The next prime is 8854965521. The reversal of 8854965504 is 4055694588.

8854965504 is a `hidden beast` number, since 8 + 85 + 4 + 9 + 6 + 550 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124717789 + ... + 124717859.

It is an arithmetic number, because the mean of its divisors is an integer number (40389440).

Almost surely, 2^8854965504 is an apocalyptic number.

8854965504 is a gapful number since it is divisible by the number (84) 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 8854965504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17448238080).

8854965504 is an abundant number, since it is smaller than the sum of its proper divisors (26041510656).

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

8854965504 is a wasteful number, since it uses less digits than its factorization.

8854965504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The square root of 8854965504 is about 94100.8262662980. The cubic root of 8854965504 is about 2068.8497817669.

The spelling of 8854965504 in words is "eight billion, eight hundred fifty-four million, nine hundred sixty-five thousand, five hundred four".