14459451333552 has 160 divisors (see below), whose sum is σ = 41587897132800. Its totient is φ = 4810076610048.

The previous prime is 14459451333541. The next prime is 14459451333611. The reversal of 14459451333552 is 25533315495441.

It is a happy number.

14459451333552 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 9 + 4 + 51 + 3 + 33 + 552 = 666.

It is a super-2 number, since 2×14459451333552² (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 31 ways as a sum of consecutive naturals, for example, 1613233423 + ... + 1613242385.

It is an arithmetic number, because the mean of its divisors is an integer number (259924357080).

Almost surely, 2^{14459451333552} is an apocalyptic number.

14459451333552 is a gapful number since it is divisible by the number (12) 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 14459451333552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20793948566400).

14459451333552 is an abundant number, since it is smaller than the sum of its proper divisors (27128445799248).

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

14459451333552 is a wasteful number, since it uses less digits than its factorization.

14459451333552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16112 (or 16100 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The spelling of 14459451333552 in words is "fourteen trillion, four hundred fifty-nine billion, four hundred fifty-one million, three hundred thirty-three thousand, five hundred fifty-two".