14729106293760 has 704 divisors, whose sum is σ = 51134815130112. Its totient is φ = 3604683423744.

The previous prime is 14729106293719. The next prime is 14729106293779. The reversal of 14729106293760 is 6739260192741.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14729106293760.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2311169934 + ... + 2311176306.

Almost surely, 2^{14729106293760} is an apocalyptic number.

14729106293760 is a gapful number since it is divisible by the number (10) 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 14729106293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25567407565056).

14729106293760 is an abundant number, since it is smaller than the sum of its proper divisors (36405708836352).

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

14729106293760 is a wasteful number, since it uses less digits than its factorization.

14729106293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 14729106293760 in words is "fourteen trillion, seven hundred twenty-nine billion, one hundred six million, two hundred ninety-three thousand, seven hundred sixty".