9648249112416 has 192 divisors, whose sum is σ = 27530016030720. Its totient is φ = 2947417735680.

The previous prime is 9648249112409. The next prime is 9648249112459. The reversal of 9648249112416 is 6142119428469.

It is a super-2 number, since 2×9648249112416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 156426415 + ... + 156488081.

It is an arithmetic number, because the mean of its divisors is an integer number (143385500160).

Almost surely, 2^{9648249112416} is an apocalyptic number.

9648249112416 is a gapful number since it is divisible by the number (96) 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 9648249112416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13765008015360).

9648249112416 is an abundant number, since it is smaller than the sum of its proper divisors (17881766918304).

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

9648249112416 is a wasteful number, since it uses less digits than its factorization.

9648249112416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64497 (or 64489 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 57.

The spelling of 9648249112416 in words is "nine trillion, six hundred forty-eight billion, two hundred forty-nine million, one hundred twelve thousand, four hundred sixteen".