14509096568700 has 288 divisors, whose sum is σ = 43338886133760. Its totient is φ = 3744936115200.

The previous prime is 14509096568683. The next prime is 14509096568753. The reversal of 14509096568700 is 786569090541.

It is a super-2 number, since 2×14509096568700² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 5599804405 + ... + 5599806995.

It is an arithmetic number, because the mean of its divisors is an integer number (150482243520).

Almost surely, 2^{14509096568700} is an apocalyptic number.

14509096568700 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 14509096568700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21669443066880).

14509096568700 is an abundant number, since it is smaller than the sum of its proper divisors (28829789565060).

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

14509096568700 is a wasteful number, since it uses less digits than its factorization.

14509096568700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 14509096568700 in words is "fourteen trillion, five hundred nine billion, ninety-six million, five hundred sixty-eight thousand, seven hundred".