14554590406144 has 160 divisors (see below), whose sum is σ = 32227359031296. Its totient is φ = 6531604316160.

The previous prime is 14554590406091. The next prime is 14554590406151. The reversal of 14554590406144 is 44160409545541.

It is a super-2 number, since 2×14554590406144² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14554590406091 and 14554590406100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66153729 + ... + 66373375.

Almost surely, 2^{14554590406144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14554590406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16113679515648).

14554590406144 is an abundant number, since it is smaller than the sum of its proper divisors (17672768625152).

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

14554590406144 is a wasteful number, since it uses less digits than its factorization.

14554590406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220036 (or 220020 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 52.

The spelling of 14554590406144 in words is "fourteen trillion, five hundred fifty-four billion, five hundred ninety million, four hundred six thousand, one hundred forty-four".