14456801623440 has 160 divisors (see below), whose sum is σ = 48892556676096. Its totient is φ = 3504515591680.

The previous prime is 14456801623421. The next prime is 14456801623447. The reversal of 14456801623440 is 4432610865441.

It is a super-2 number, since 2×14456801623440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14456801623440.

It is not an unprimeable number, because it can be changed into a prime (14456801623447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62195917 + ... + 62427923.

Almost surely, 2^{14456801623440} is an apocalyptic number.

14456801623440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14456801623440 is an abundant number, since it is smaller than the sum of its proper divisors (34435755052656).

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

14456801623440 is a wasteful number, since it uses less digits than its factorization.

14456801623440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255637 (or 255631 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 14456801623440 in words is "fourteen trillion, four hundred fifty-six billion, eight hundred one million, six hundred twenty-three thousand, four hundred forty".