108460189440 has 216 divisors, whose sum is σ = 375572368080. Its totient is φ = 28898721792.

The previous prime is 108460189429. The next prime is 108460189447. The reversal of 108460189440 is 44981064801.

108460189440 is a `hidden beast` number, since 1 + 0 + 8 + 460 + 189 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×108460189440² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (108460189447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17150119 + ... + 17156441.

Almost surely, 2^108460189440 is an apocalyptic number.

108460189440 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 108460189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187786184040).

108460189440 is an abundant number, since it is smaller than the sum of its proper divisors (267112178640).

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

108460189440 is a wasteful number, since it uses less digits than its factorization.

108460189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7839 (or 7822 counting only the distinct ones).

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

The spelling of 108460189440 in words is "one hundred eight billion, four hundred sixty million, one hundred eighty-nine thousand, four hundred forty".