14993245760790 has 192 divisors, whose sum is σ = 41476825656000. Its totient is φ = 3461315235840.

The previous prime is 14993245760749. The next prime is 14993245760849. The reversal of 14993245760790 is 9706754239941.

14993245760790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6709186 + ... + 8660234.

It is an arithmetic number, because the mean of its divisors is an integer number (216025133625).

Almost surely, 2^{14993245760790} is an apocalyptic number.

14993245760790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14993245760790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20738412828000).

14993245760790 is an abundant number, since it is smaller than the sum of its proper divisors (26483579895210).

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

14993245760790 is a wasteful number, since it uses less digits than its factorization.

14993245760790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951183 (or 1951172 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 66.

The spelling of 14993245760790 in words is "fourteen trillion, nine hundred ninety-three billion, two hundred forty-five million, seven hundred sixty thousand, seven hundred ninety".