107074241691648 has 1824 divisors, whose sum is σ = 381001191613056. Its totient is φ = 26424115200000.

The previous prime is 107074241691581. The next prime is 107074241691661. The reversal of 107074241691648 is 846196142470701.

It is a super-2 number, since 2×107074241691648² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107074241691591 and 107074241691600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1060141006798 + ... + 1060141006898.

It is an arithmetic number, because the mean of its divisors is an integer number (208882232244).

Almost surely, 2^{107074241691648} 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 107074241691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190500595806528).

107074241691648 is an abundant number, since it is smaller than the sum of its proper divisors (273926949921408).

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

107074241691648 is an equidigital number, since it uses as much as digits as its factorization.

107074241691648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 107074241691648 in words is "one hundred seven trillion, seventy-four billion, two hundred forty-one million, six hundred ninety-one thousand, six hundred forty-eight".