8032954831104 has 432 divisors, whose sum is σ = 25039181670720. Its totient is φ = 2279559905280.

The previous prime is 8032954831093. The next prime is 8032954831157. The reversal of 8032954831104 is 4011384592308.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4662189987 + ... + 4662191709.

Almost surely, 2^{8032954831104} is an apocalyptic number.

8032954831104 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 8032954831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519590835360).

8032954831104 is an abundant number, since it is smaller than the sum of its proper divisors (17006226839616).

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

8032954831104 is a wasteful number, since it uses less digits than its factorization.

8032954831104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 8032954831104 in words is "eight trillion, thirty-two billion, nine hundred fifty-four million, eight hundred thirty-one thousand, one hundred four".