14869764000 has 1536 divisors, whose sum is σ = 71327692800. Its totient is φ = 2919628800.

The previous prime is 14869763969. The next prime is 14869764047. The reversal of 14869764000 is 46796841.

It is a super-2 number, since 2×14869764000² (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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 167075956 + ... + 167076044.

It is an arithmetic number, because the mean of its divisors is an integer number (46437300).

Almost surely, 2^14869764000 is an apocalyptic number.

14869764000 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 14869764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35663846400).

14869764000 is an abundant number, since it is smaller than the sum of its proper divisors (56457928800).

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

14869764000 is a wasteful number, since it uses less digits than its factorization.

14869764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14869764000 in words is "fourteen billion, eight hundred sixty-nine million, seven hundred sixty-four thousand".