10239343549344 has 1152 divisors, whose sum is σ = 39587245447680. Its totient is φ = 2506411081728.

The previous prime is 10239343549319. The next prime is 10239343549373. The reversal of 10239343549344 is 44394534393201.

10239343549344 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 93 + 4 + 3 + 549 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1658727442 + ... + 1658733614.

It is an arithmetic number, because the mean of its divisors is an integer number (34363928340).

Almost surely, 2^{10239343549344} is an apocalyptic number.

10239343549344 is a gapful number since it is divisible by the number (14) 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 10239343549344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19793622723840).

10239343549344 is an abundant number, since it is smaller than the sum of its proper divisors (29347901898336).

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

10239343549344 is a wasteful number, since it uses less digits than its factorization.

10239343549344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6319 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 10239343549344 in words is "ten trillion, two hundred thirty-nine billion, three hundred forty-three million, five hundred forty-nine thousand, three hundred forty-four".