14536704000 has 768 divisors, whose sum is σ = 59868581760. Its totient is φ = 3067084800.

The previous prime is 14536703999. The next prime is 14536704001. The reversal of 14536704000 is 40763541.

It is an interprime number because it is at equal distance from previous prime (14536703999) and next prime (14536704001).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×14536704000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14536704001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1118207994 + ... + 1118208006.

Almost surely, 2^14536704000 is an apocalyptic number.

14536704000 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 14536704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29934290880).

14536704000 is an abundant number, since it is smaller than the sum of its proper divisors (45331877760).

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

14536704000 is an frugal number, since it uses more digits than its factorization.

14536704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 14536704000 in words is "fourteen billion, five hundred thirty-six million, seven hundred four thousand".