10203605556456 has 128 divisors (see below), whose sum is σ = 28421859312000. Its totient is φ = 3030954759168.

The previous prime is 10203605556449. The next prime is 10203605556479. The reversal of 10203605556456 is 65465550630201.

10203605556456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10203605556456² (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 31 ways as a sum of consecutive naturals, for example, 82935835 + ... + 83058773.

It is an arithmetic number, because the mean of its divisors is an integer number (222045775875).

Almost surely, 2^{10203605556456} 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 10203605556456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210929656000).

10203605556456 is an abundant number, since it is smaller than the sum of its proper divisors (18218253755544).

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

10203605556456 is a wasteful number, since it uses less digits than its factorization.

10203605556456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132163 (or 132159 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 10203605556456 in words is "ten trillion, two hundred three billion, six hundred five million, five hundred fifty-six thousand, four hundred fifty-six".