10049752944 has 240 divisors, whose sum is σ = 36365172480. Its totient is φ = 2610247680.

The previous prime is 10049752943. The next prime is 10049752967. The reversal of 10049752944 is 44925794001.

10049752944 is a `hidden beast` number, since 100 + 497 + 52 + 9 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10049752944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10049752943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282592 + ... + 316160.

It is an arithmetic number, because the mean of its divisors is an integer number (151521552).

Almost surely, 2^10049752944 is an apocalyptic number.

10049752944 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 10049752944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18182586240).

10049752944 is an abundant number, since it is smaller than the sum of its proper divisors (26315419536).

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

10049752944 is a wasteful number, since it uses less digits than its factorization.

10049752944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33610 (or 33592 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10049752944 in words is "ten billion, forty-nine million, seven hundred fifty-two thousand, nine hundred forty-four".