8961249024 has 432 divisors, whose sum is σ = 32998597632. Its totient is φ = 2361913344.

The previous prime is 8961249013. The next prime is 8961249041. The reversal of 8961249024 is 4209421698.

8961249024 is a `hidden beast` number, since 8 + 9 + 612 + 4 + 9 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660137 + ... + 5661719.

Almost surely, 2^8961249024 is an apocalyptic number.

8961249024 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 8961249024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499298816).

8961249024 is an abundant number, since it is smaller than the sum of its proper divisors (24037348608).

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

8961249024 is a wasteful number, since it uses less digits than its factorization.

8961249024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8961249024 is about 94663.8739118572. The cubic root of 8961249024 is about 2077.0941474133.

The spelling of 8961249024 in words is "eight billion, nine hundred sixty-one million, two hundred forty-nine thousand, twenty-four".