109283505408 has 648 divisors, whose sum is σ = 406555426368. Its totient is φ = 27426816000.

The previous prime is 109283505389. The next prime is 109283505427. The reversal of 109283505408 is 804505382901.

109283505408 is a `hidden beast` number, since 10 + 92 + 8 + 3 + 5 + 0 + 540 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (109283505389) and next prime (109283505427).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170488768 + ... + 170489408.

Almost surely, 2^109283505408 is an apocalyptic number.

109283505408 is a gapful number since it is divisible by the number (18) 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 109283505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203277713184).

109283505408 is an abundant number, since it is smaller than the sum of its proper divisors (297271920960).

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

109283505408 is a wasteful number, since it uses less digits than its factorization.

109283505408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 109283505408 in words is "one hundred nine billion, two hundred eighty-three million, five hundred five thousand, four hundred eight".