14700467045264 has 360 divisors, whose sum is σ = 41283799542720. Its totient is φ = 5008616363520.

The previous prime is 14700467045249. The next prime is 14700467045267. The reversal of 14700467045264 is 46254076400741.

14700467045264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14700467045264² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14700467045267) 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, 23117717 + ... + 23745099.

It is an arithmetic number, because the mean of its divisors is an integer number (114677220952).

Almost surely, 2^{14700467045264} is an apocalyptic number.

14700467045264 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 14700467045264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20641899771360).

14700467045264 is an abundant number, since it is smaller than the sum of its proper divisors (26583332497456).

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

14700467045264 is a wasteful number, since it uses less digits than its factorization.

14700467045264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627459 (or 627435 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 50.

The spelling of 14700467045264 in words is "fourteen trillion, seven hundred billion, four hundred sixty-seven million, forty-five thousand, two hundred sixty-four".