10118814482304 has 640 divisors, whose sum is σ = 35440075709280. Its totient is φ = 2831456010240.

The previous prime is 10118814482281. The next prime is 10118814482317. The reversal of 10118814482304 is 40328441881101.

10118814482304 is a `hidden beast` number, since 1 + 0 + 1 + 188 + 1 + 448 + 23 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10118814482304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102708012 + ... + 102806484.

Almost surely, 2^{10118814482304} 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 10118814482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17720037854640).

10118814482304 is an abundant number, since it is smaller than the sum of its proper divisors (25321261226976).

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

10118814482304 is a wasteful number, since it uses less digits than its factorization.

10118814482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98580 (or 98559 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 10118814482304 in words is "ten trillion, one hundred eighteen billion, eight hundred fourteen million, four hundred eighty-two thousand, three hundred four".