8921549952 has 480 divisors, whose sum is σ = 32733575820. Its totient is φ = 2396749824.

The previous prime is 8921549941. The next prime is 8921549957. The reversal of 8921549952 is 2599451298.

8921549952 is a `hidden beast` number, since 8 + 9 + 2 + 1 + 549 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7254950976 + 1666598976 = 85176^2 + 40824^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8921549957) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8636028 + ... + 8637060.

Almost surely, 2^8921549952 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 8921549952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16366787910).

8921549952 is an abundant number, since it is smaller than the sum of its proper divisors (23812025868).

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

8921549952 is a wasteful number, since it uses less digits than its factorization.

8921549952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1062 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 8921549952 is about 94453.9567831862. The cubic root of 8921549952 is about 2074.0223740940.

The spelling of 8921549952 in words is "eight billion, nine hundred twenty-one million, five hundred forty-nine thousand, nine hundred fifty-two".