108149408640 has 1536 divisors, whose sum is σ = 498020140800. Its totient is φ = 20978860032.

The previous prime is 108149408639. The next prime is 108149408671. The reversal of 108149408640 is 46804941801.

108149408640 is a `hidden beast` number, since 1 + 0 + 81 + 494 + 0 + 86 + 4 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 472268046 + ... + 472268274.

Almost surely, 2^108149408640 is an apocalyptic number.

108149408640 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 108149408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249010070400).

108149408640 is an abundant number, since it is smaller than the sum of its proper divisors (389870732160).

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

108149408640 is a wasteful number, since it uses less digits than its factorization.

108149408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 108149408640 in words is "one hundred eight billion, one hundred forty-nine million, four hundred eight thousand, six hundred forty".