108295424496 has 960 divisors, whose sum is σ = 412816435200. Its totient is φ = 26921631744.

The previous prime is 108295424467. The next prime is 108295424519. The reversal of 108295424496 is 694424592801.

108295424496 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 9 + 542 + 4 + 4 + 96 = 666.

It is a super-3 number, since 3×108295424496³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321351240 + ... + 321351576.

It is an arithmetic number, because the mean of its divisors is an integer number (430017120).

Almost surely, 2^108295424496 is an apocalyptic number.

108295424496 is a gapful number since it is divisible by the number (16) 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 108295424496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206408217600).

108295424496 is an abundant number, since it is smaller than the sum of its proper divisors (304521010704).

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

108295424496 is a wasteful number, since it uses less digits than its factorization.

108295424496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 108295424496 in words is "one hundred eight billion, two hundred ninety-five million, four hundred twenty-four thousand, four hundred ninety-six".