10233993744 has 360 divisors, whose sum is σ = 34010088840. Its totient is φ = 2858139648.

The previous prime is 10233993701. The next prime is 10233993793. The reversal of 10233993744 is 44739933201.

It can be written as a sum of positive squares in 12 ways, for example, as 6227103744 + 4006890000 = 78912^2 + 63300^2 .

It is a super-2 number, since 2×10233993744² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10233993744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11997222 + ... + 11998074.

It is an arithmetic number, because the mean of its divisors is an integer number (94472469).

Almost surely, 2^10233993744 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 10233993744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17005044420).

10233993744 is an abundant number, since it is smaller than the sum of its proper divisors (23776095096).

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

10233993744 is a wasteful number, since it uses less digits than its factorization.

10233993744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 10233993744 in words is "ten billion, two hundred thirty-three million, nine hundred ninety-three thousand, seven hundred forty-four".