10118422776384 has 336 divisors, whose sum is σ = 32096639418480. Its totient is φ = 3027814318080.

The previous prime is 10118422776377. The next prime is 10118422776391. The reversal of 10118422776384 is 48367722481101.

10118422776384 is a `hidden beast` number, since 1 + 0 + 1 + 18 + 422 + 77 + 63 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (10118422776377) and next prime (10118422776391).

It can be written as a sum of positive squares in 8 ways, for example, as 5452822776384 + 4665600000000 = 2335128^2 + 2160000^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10118422776384.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97269552 + ... + 97373520.

It is an arithmetic number, because the mean of its divisors is an integer number (95525712555).

Almost surely, 2^{10118422776384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10118422776384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048319709240).

10118422776384 is an abundant number, since it is smaller than the sum of its proper divisors (21978216642096).

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

10118422776384 is a wasteful number, since it uses less digits than its factorization.

10118422776384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104358 (or 104345 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 10118422776384 in words is "ten trillion, one hundred eighteen billion, four hundred twenty-two million, seven hundred seventy-six thousand, three hundred eighty-four".