14248956395520 has 2736 divisors, whose sum is σ = 65789579576448. Its totient is φ = 2925149552640.

The previous prime is 14248956395419. The next prime is 14248956395521. The reversal of 14248956395520 is 2559365984241.

14248956395520 is a `hidden beast` number, since 1 + 4 + 2 + 48 + 9 + 5 + 6 + 39 + 552 + 0 = 666.

It is a super-2 number, since 2×14248956395520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14248956395521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171674173399 + ... + 171674173481.

It is an arithmetic number, because the mean of its divisors is an integer number (24045898968).

Almost surely, 2^{14248956395520} is an apocalyptic number.

14248956395520 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 14248956395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32894789788224).

14248956395520 is an abundant number, since it is smaller than the sum of its proper divisors (51540623180928).

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

14248956395520 is an frugal number, since it uses more digits than its factorization.

14248956395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 14248956395520 in words is "fourteen trillion, two hundred forty-eight billion, nine hundred fifty-six million, three hundred ninety-five thousand, five hundred twenty".