12353250416640 has 1728 divisors, whose sum is σ = 49175349350400. Its totient is φ = 2639100248064.

The previous prime is 12353250416629. The next prime is 12353250416677. The reversal of 12353250416640 is 4661405235321.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12353250416592 and 12353250416601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69012572071 + ... + 69012572249.

It is an arithmetic number, because the mean of its divisors is an integer number (28457956800).

Almost surely, 2^{12353250416640} is an apocalyptic number.

12353250416640 is a gapful number since it is divisible by the number (10) 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 12353250416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24587674675200).

12353250416640 is an abundant number, since it is smaller than the sum of its proper divisors (36822098933760).

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

12353250416640 is a wasteful number, since it uses less digits than its factorization.

12353250416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 12353250416640 in words is "twelve trillion, three hundred fifty-three billion, two hundred fifty million, four hundred sixteen thousand, six hundred forty".