10245739201344 has 224 divisors, whose sum is σ = 30506405027200. Its totient is φ = 3413681791488.

The previous prime is 10245739201279. The next prime is 10245739201367. The reversal of 10245739201344 is 44310293754201.

10245739201344 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 573 + 9 + 20 + 13 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10245739201344.

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, 328489302 + ... + 328520490.

Almost surely, 2^{10245739201344} 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 10245739201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15253202513600).

10245739201344 is an abundant number, since it is smaller than the sum of its proper divisors (20260665825856).

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

10245739201344 is an frugal number, since it uses more digits than its factorization.

10245739201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33569 (or 33541 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10245739201344 in words is "ten trillion, two hundred forty-five billion, seven hundred thirty-nine million, two hundred one thousand, three hundred forty-four".