14465741431680 has 2304 divisors, whose sum is σ = 65055954862080. Its totient is φ = 2897001676800.

The previous prime is 14465741431613. The next prime is 14465741431721. The reversal of 14465741431680 is 8613414756441.

14465741431680 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 574 + 1 + 4 + 3 + 1 + 68 + 0 = 666.

It is a super-2 number, since 2×14465741431680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22925104965 + ... + 22925105595.

It is an arithmetic number, because the mean of its divisors is an integer number (28236091520).

Almost surely, 2^{14465741431680} is an apocalyptic number.

14465741431680 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 14465741431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32527977431040).

14465741431680 is an abundant number, since it is smaller than the sum of its proper divisors (50590213430400).

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

14465741431680 is a wasteful number, since it uses less digits than its factorization.

14465741431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 14465741431680 in words is "fourteen trillion, four hundred sixty-five billion, seven hundred forty-one million, four hundred thirty-one thousand, six hundred eighty".