10117103375456 has 384 divisors, whose sum is σ = 28131389475840. Its totient is φ = 3456973209600.

The previous prime is 10117103375387. The next prime is 10117103375459. The reversal of 10117103375456 is 65457330171101.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117103375459) 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, 48443996 + ... + 48652388.

It is an arithmetic number, because the mean of its divisors is an integer number (73258826760).

Almost surely, 2^{10117103375456} is an apocalyptic number.

10117103375456 is a gapful number since it is divisible by the number (16) 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 10117103375456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065694737920).

10117103375456 is an abundant number, since it is smaller than the sum of its proper divisors (18014286100384).

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

10117103375456 is a wasteful number, since it uses less digits than its factorization.

10117103375456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208518 (or 208510 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 44.

The spelling of 10117103375456 in words is "ten trillion, one hundred seventeen billion, one hundred three million, three hundred seventy-five thousand, four hundred fifty-six".