10013657774848 has 360 divisors, whose sum is σ = 25457366148928. Its totient is φ = 3906953035776.

The previous prime is 10013657774821. The next prime is 10013657774849. The reversal of 10013657774848 is 84847775631001.

It is a happy number.

It is a super-5 number, since 5×10013657774848⁵ (a number of 66 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10013657774849) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 583299961 + ... + 583317127.

Almost surely, 2^{10013657774848} 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 10013657774848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12728683074464).

10013657774848 is an abundant number, since it is smaller than the sum of its proper divisors (15443708374080).

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

10013657774848 is an frugal number, since it uses more digits than its factorization.

10013657774848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17297 (or 17262 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 61.

The spelling of 10013657774848 in words is "ten trillion, thirteen billion, six hundred fifty-seven million, seven hundred seventy-four thousand, eight hundred forty-eight".