10293744384 has 648 divisors, whose sum is σ = 39185834688. Its totient is φ = 2664990720.

The previous prime is 10293744367. The next prime is 10293744389. The reversal of 10293744384 is 48344739201.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×10293744384² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10293744389) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33529959 + ... + 33530265.

Almost surely, 2^10293744384 is an apocalyptic number.

10293744384 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 10293744384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19592917344).

10293744384 is an abundant number, since it is smaller than the sum of its proper divisors (28892090304).

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

10293744384 is an equidigital number, since it uses as much as digits as its factorization.

10293744384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10293744384 in words is "ten billion, two hundred ninety-three million, seven hundred forty-four thousand, three hundred eighty-four".