10926476218368 has 1040 divisors, whose sum is σ = 34614591319440. Its totient is φ = 3430680625152.

The previous prime is 10926476218367. The next prime is 10926476218373. The reversal of 10926476218368 is 86381267462901.

10926476218368 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 6 + 476 + 21 + 83 + 68 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 211276283904 + 10715199934464 = 459648^2 + 3273408^2 .

It is a super-2 number, since 2×10926476218368² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10926476218367) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79755300796 + ... + 79755300932.

Almost surely, 2^{10926476218368} is an apocalyptic number.

10926476218368 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 10926476218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307295659720).

10926476218368 is an abundant number, since it is smaller than the sum of its proper divisors (23688115101072).

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

10926476218368 is an equidigital number, since it uses as much as digits as its factorization.

10926476218368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 10926476218368 in words is "ten trillion, nine hundred twenty-six billion, four hundred seventy-six million, two hundred eighteen thousand, three hundred sixty-eight".