14513485409280 has 2816 divisors, whose sum is σ = 67566485145600. Its totient is φ = 2894573076480.

The previous prime is 14513485409251. The next prime is 14513485409303. The reversal of 14513485409280 is 8290458431541.

14513485409280 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 3 + 4 + 8 + 540 + 92 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×14513485409280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6385166224 + ... + 6385168496.

Almost surely, 2^{14513485409280} is an apocalyptic number.

14513485409280 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 14513485409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33783242572800).

14513485409280 is an abundant number, since it is smaller than the sum of its proper divisors (53052999736320).

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

14513485409280 is a wasteful number, since it uses less digits than its factorization.

14513485409280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 14513485409280 in words is "fourteen trillion, five hundred thirteen billion, four hundred eighty-five million, four hundred nine thousand, two hundred eighty".