10117284408 has 192 divisors, whose sum is σ = 34860384000. Its totient is φ = 2627795520.

The previous prime is 10117284377. The next prime is 10117284461. The reversal of 10117284408 is 80448271101.

10117284408 is a `hidden beast` number, since 1 + 0 + 1 + 172 + 84 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253035 + ... + 290277.

It is an arithmetic number, because the mean of its divisors is an integer number (181564500).

Almost surely, 2^10117284408 is an apocalyptic number.

10117284408 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 10117284408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17430192000).

10117284408 is an abundant number, since it is smaller than the sum of its proper divisors (24743099592).

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

10117284408 is a wasteful number, since it uses less digits than its factorization.

10117284408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37287 (or 37266 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 10117284408 in words is "ten billion, one hundred seventeen million, two hundred eighty-four thousand, four hundred eight".