10518112349064 has 384 divisors, whose sum is σ = 31583329401600. Its totient is φ = 3237092812800.

The previous prime is 10518112349051. The next prime is 10518112349111. The reversal of 10518112349064 is 46094321181501.

10518112349064 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 81 + 1 + 23 + 490 + 64 = 666.

It is a super-2 number, since 2×10518112349064² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2009955792 + ... + 2009961024.

It is an arithmetic number, because the mean of its divisors is an integer number (82248253650).

Almost surely, 2^{10518112349064} 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 10518112349064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15791664700800).

10518112349064 is an abundant number, since it is smaller than the sum of its proper divisors (21065217052536).

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

10518112349064 is a wasteful number, since it uses less digits than its factorization.

10518112349064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10518112349064 in words is "ten trillion, five hundred eighteen billion, one hundred twelve million, three hundred forty-nine thousand, sixty-four".