14526054000 has 480 divisors, whose sum is σ = 53970920640. Its totient is φ = 3779136000.

The previous prime is 14526053989. The next prime is 14526054001. The reversal of 14526054000 is 45062541.

14526054000 is a `hidden beast` number, since 1 + 4 + 52 + 605 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×14526054000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14526054001) 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 95 ways as a sum of consecutive naturals, for example, 354293980 + ... + 354294020.

It is an arithmetic number, because the mean of its divisors is an integer number (112439418).

Almost surely, 2^14526054000 is an apocalyptic number.

14526054000 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 14526054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26985460320).

14526054000 is an abundant number, since it is smaller than the sum of its proper divisors (39444866640).

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

14526054000 is an frugal number, since it uses more digits than its factorization.

14526054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 14526054000 in words is "fourteen billion, five hundred twenty-six million, fifty-four thousand".