10418662368 has 96 divisors (see below), whose sum is σ = 30407076000. Its totient is φ = 3470681088.

The previous prime is 10418662363. The next prime is 10418662411. The reversal of 10418662368 is 86326681401.

10418662368 is a `hidden beast` number, since 1 + 0 + 4 + 18 + 6 + 623 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10418662361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1909308 + ... + 1914756.

It is an arithmetic number, because the mean of its divisors is an integer number (316740375).

Almost surely, 2^10418662368 is an apocalyptic number.

10418662368 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 10418662368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203538000).

10418662368 is an abundant number, since it is smaller than the sum of its proper divisors (19988413632).

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

10418662368 is a wasteful number, since it uses less digits than its factorization.

10418662368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7681 (or 7667 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10418662368 in words is "ten billion, four hundred eighteen million, six hundred sixty-two thousand, three hundred sixty-eight".