10118284745184 has 576 divisors, whose sum is σ = 36753495787008. Its totient is φ = 2564238643200.

The previous prime is 10118284745147. The next prime is 10118284745213. The reversal of 10118284745184 is 48154748281101.

10118284745184 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 82 + 8 + 47 + 4 + 518 + 4 = 666.

It is a super-2 number, since 2×10118284745184² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10118284745184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212710587 + ... + 212758149.

It is an arithmetic number, because the mean of its divisors is an integer number (63808152408).

Almost surely, 2^{10118284745184} is an apocalyptic number.

10118284745184 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 10118284745184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376747893504).

10118284745184 is an abundant number, since it is smaller than the sum of its proper divisors (26635211041824).

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

10118284745184 is a wasteful number, since it uses less digits than its factorization.

10118284745184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47831 (or 47820 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 10118284745184 in words is "ten trillion, one hundred eighteen billion, two hundred eighty-four million, seven hundred forty-five thousand, one hundred eighty-four".