14250608064 has 504 divisors, whose sum is σ = 52321986288. Its totient is φ = 3666862080.

The previous prime is 14250608063. The next prime is 14250608077. The reversal of 14250608064 is 46080605241.

14250608064 is a `hidden beast` number, since 1 + 42 + 5 + 0 + 608 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×14250608064³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14250608063) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61161292 + ... + 61161524.

Almost surely, 2^14250608064 is an apocalyptic number.

14250608064 is a gapful number since it is divisible by the number (14) 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 14250608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26160993144).

14250608064 is an abundant number, since it is smaller than the sum of its proper divisors (38071378224).

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

14250608064 is a wasteful number, since it uses less digits than its factorization.

14250608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14250608064 in words is "fourteen billion, two hundred fifty million, six hundred eight thousand, sixty-four".