107648014428136 has 256 divisors, whose sum is σ = 260297579888640. Its totient is φ = 40592563845120.

The previous prime is 107648014428121. The next prime is 107648014428137. The reversal of 107648014428136 is 631824410846701.

It is a happy number.

It is a super-3 number, since 3×107648014428136³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (107648014428137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224021781 + ... + 1224109723.

It is an arithmetic number, because the mean of its divisors is an integer number (1016787421440).

Almost surely, 2^{107648014428136} 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 107648014428136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130148789944320).

107648014428136 is an abundant number, since it is smaller than the sum of its proper divisors (152649565460504).

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

107648014428136 is a wasteful number, since it uses less digits than its factorization.

107648014428136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88816 (or 88812 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 107648014428136 in words is "one hundred seven trillion, six hundred forty-eight billion, fourteen million, four hundred twenty-eight thousand, one hundred thirty-six".