14540064000 has 864 divisors, whose sum is σ = 61505039232. Its totient is φ = 3010560000.

The previous prime is 14540063971. The next prime is 14540064023. The reversal of 14540064000 is 46004541.

It is a super-2 number, since 2×14540064000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51743860 + ... + 51744140.

It is an arithmetic number, because the mean of its divisors is an integer number (71186388).

Almost surely, 2^14540064000 is an apocalyptic number.

14540064000 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 14540064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30752519616).

14540064000 is an abundant number, since it is smaller than the sum of its proper divisors (46964975232).

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

14540064000 is a wasteful number, since it uses less digits than its factorization.

14540064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 14540064000 its reverse (46004541), we get a palindrome (14586068541).

The spelling of 14540064000 in words is "fourteen billion, five hundred forty million, sixty-four thousand".