108946252800 has 2112 divisors, whose sum is σ = 526337740800. Its totient is φ = 21410611200.

The previous prime is 108946252799. The next prime is 108946252817. The reversal of 108946252800 is 8252649801.

108946252800 is a `hidden beast` number, since 1 + 0 + 89 + 46 + 2 + 528 + 0 + 0 = 666.

108946252800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1224115156 + ... + 1224115244.

Almost surely, 2^108946252800 is an apocalyptic number.

108946252800 is a gapful number since it is divisible by the number (10) 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 108946252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263168870400).

108946252800 is an abundant number, since it is smaller than the sum of its proper divisors (417391488000).

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

108946252800 is a wasteful number, since it uses less digits than its factorization.

108946252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 108 and 946252800, that multiplied together give a square (102195302400 = 319680²).

The spelling of 108946252800 in words is "one hundred eight billion, nine hundred forty-six million, two hundred fifty-two thousand, eight hundred".