14769742011864 has 256 divisors, whose sum is σ = 44397158400000. Its totient is φ = 4003223938560.

The previous prime is 14769742011859. The next prime is 14769742011901. The reversal of 14769742011864 is 46811024796741.

It is a junction number, because it is equal to n+sod(n) for n = 14769742011798 and 14769742011807.

It is a congruent number.

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, 532248262 + ... + 532276010.

It is an arithmetic number, because the mean of its divisors is an integer number (173426400000).

Almost surely, 2^{14769742011864} is an apocalyptic number.

14769742011864 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 14769742011864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22198579200000).

14769742011864 is an abundant number, since it is smaller than the sum of its proper divisors (29627416388136).

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

14769742011864 is a wasteful number, since it uses less digits than its factorization.

14769742011864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28918 (or 28914 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 14769742011864 in words is "fourteen trillion, seven hundred sixty-nine billion, seven hundred forty-two million, eleven thousand, eight hundred sixty-four".