8801952074496 has 1296 divisors, whose sum is σ = 31163247058944. Its totient is φ = 2338670444544.

The previous prime is 8801952074467. The next prime is 8801952074551. The reversal of 8801952074496 is 6944702591088.

8801952074496 is a `hidden beast` number, since 8 + 8 + 0 + 19 + 520 + 7 + 4 + 4 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69306709185 + ... + 69306709311.

Almost surely, 2^{8801952074496} is an apocalyptic number.

8801952074496 is a gapful number since it is divisible by the number (86) 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 8801952074496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581623529472).

8801952074496 is an abundant number, since it is smaller than the sum of its proper divisors (22361294984448).

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

8801952074496 is a wasteful number, since it uses less digits than its factorization.

8801952074496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 8801952074496 in words is "eight trillion, eight hundred one billion, nine hundred fifty-two million, seventy-four thousand, four hundred ninety-six".