14538806640 has 960 divisors, whose sum is σ = 58350015360. Its totient is φ = 3344302080.

The previous prime is 14538806629. The next prime is 14538806641. The reversal of 14538806640 is 4660883541.

14538806640 is a `hidden beast` number, since 14 + 538 + 8 + 0 + 66 + 40 = 666.

It is a super-2 number, since 2×14538806640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14538806641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 354605020 + ... + 354605060.

It is an arithmetic number, because the mean of its divisors is an integer number (60781266).

Almost surely, 2^14538806640 is an apocalyptic number.

14538806640 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 14538806640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29175007680).

14538806640 is an abundant number, since it is smaller than the sum of its proper divisors (43811208720).

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

14538806640 is a wasteful number, since it uses less digits than its factorization.

14538806640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14538806640 in words is "fourteen billion, five hundred thirty-eight million, eight hundred six thousand, six hundred forty".