10461385542816 has 168 divisors, whose sum is σ = 33255011975220. Its totient is φ = 3218887766016.

The previous prime is 10461385542793. The next prime is 10461385542851. The reversal of 10461385542816 is 61824558316401.

10461385542816 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 1 + 3 + 8 + 554 + 2 + 81 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7771851142416 + 2689534400400 = 2787804^2 + 1639980^2 .

It is a super-2 number, since 2×10461385542816² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16944721 + ... + 17551248.

Almost surely, 2^{10461385542816} is an apocalyptic number.

10461385542816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10461385542816 is an abundant number, since it is smaller than the sum of its proper divisors (22793626432404).

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

10461385542816 is an equidigital number, since it uses as much as digits as its factorization.

10461385542816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34496010 (or 34495987 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 10461385542816 in words is "ten trillion, four hundred sixty-one billion, three hundred eighty-five million, five hundred forty-two thousand, eight hundred sixteen".