10612481658768 has 240 divisors, whose sum is σ = 32681565745920. Its totient is φ = 3188047737600.

The previous prime is 10612481658703. The next prime is 10612481658787. The reversal of 10612481658768 is 86785618421601.

It is a happy number.

10612481658768 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 2 + 48 + 1 + 6 + 587 + 6 + 8 = 666.

It is a super-2 number, since 2×10612481658768² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150344923 + ... + 150415493.

It is an arithmetic number, because the mean of its divisors is an integer number (136173190608).

Almost surely, 2^{10612481658768} is an apocalyptic number.

10612481658768 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 10612481658768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16340782872960).

10612481658768 is an abundant number, since it is smaller than the sum of its proper divisors (22069084087152).

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

10612481658768 is a wasteful number, since it uses less digits than its factorization.

10612481658768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71418 (or 71409 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 10612481658768 in words is "ten trillion, six hundred twelve billion, four hundred eighty-one million, six hundred fifty-eight thousand, seven hundred sixty-eight".