8961511104 has 672 divisors, whose sum is σ = 34149548160. Its totient is φ = 2179989504.

The previous prime is 8961511073. The next prime is 8961511147. The reversal of 8961511104 is 4011151698.

It is a happy number.

8961511104 is a `hidden beast` number, since 89 + 61 + 511 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 79305352 + ... + 79305464.

It is an arithmetic number, because the mean of its divisors is an integer number (50817780).

Almost surely, 2^8961511104 is an apocalyptic number.

8961511104 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 8961511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074774080).

8961511104 is an abundant number, since it is smaller than the sum of its proper divisors (25188037056).

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

8961511104 is a wasteful number, since it uses less digits than its factorization.

8961511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 8961511104 is about 94665.2581679256. The cubic root of 8961511104 is about 2077.1143960611.

The spelling of 8961511104 in words is "eight billion, nine hundred sixty-one million, five hundred eleven thousand, one hundred four".