108405460464 has 240 divisors, whose sum is σ = 346016710656. Its totient is φ = 29059430400.

The previous prime is 108405460459. The next prime is 108405460477. The reversal of 108405460464 is 464064504801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13230609 + ... + 13238799.

Almost surely, 2^108405460464 is an apocalyptic number.

108405460464 is a gapful number since it is divisible by the number (14) 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 108405460464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173008355328).

108405460464 is an abundant number, since it is smaller than the sum of its proper divisors (237611250192).

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

108405460464 is a wasteful number, since it uses less digits than its factorization.

108405460464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8564 (or 8551 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 108405460464 in words is "one hundred eight billion, four hundred five million, four hundred sixty thousand, four hundred sixty-four".