108641249611200 has 840 divisors, whose sum is σ = 402391246365504. Its totient is φ = 28749966336000.

The previous prime is 108641249611171. The next prime is 108641249611211. The reversal of 108641249611200 is 2116942146801.

108641249611200 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 4 + 1 + 2 + 4 + 9 + 611 + 20 + 0 = 666.

It is a super-2 number, since 2×108641249611200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18536296270 + ... + 18536302130.

Almost surely, 2^{108641249611200} is an apocalyptic number.

108641249611200 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 108641249611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201195623182752).

108641249611200 is an abundant number, since it is smaller than the sum of its proper divisors (293749996754304).

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

108641249611200 is a wasteful number, since it uses less digits than its factorization.

108641249611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 108641249611200 in words is "one hundred eight trillion, six hundred forty-one billion, two hundred forty-nine million, six hundred eleven thousand, two hundred".