103618609875456 has 320 divisors, whose sum is σ = 298948041934080. Its totient is φ = 31703983718400.

The previous prime is 103618609875437. The next prime is 103618609875457. The reversal of 103618609875456 is 654578906816301.

It is a super-3 number, since 3×103618609875456³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103618609875457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12790837806 + ... + 12790845906.

It is an arithmetic number, because the mean of its divisors is an integer number (934212631044).

Almost surely, 2^{103618609875456} is an apocalyptic number.

103618609875456 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 103618609875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149474020967040).

103618609875456 is an abundant number, since it is smaller than the sum of its proper divisors (195329432058624).

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

103618609875456 is a wasteful number, since it uses less digits than its factorization.

103618609875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11647 (or 11631 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 69.

The spelling of 103618609875456 in words is "one hundred three trillion, six hundred eighteen billion, six hundred nine million, eight hundred seventy-five thousand, four hundred fifty-six".