14112679526400 has 2208 divisors, whose sum is σ = 62910525968640. Its totient is φ = 2705829396480.

The previous prime is 14112679526359. The next prime is 14112679526401. The reversal of 14112679526400 is 462597621141.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14112679526400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14112679526401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 486644121586 + ... + 486644121614.

Almost surely, 2^{14112679526400} is an apocalyptic number.

14112679526400 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 14112679526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31455262984320).

14112679526400 is an abundant number, since it is smaller than the sum of its proper divisors (48797846442240).

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

14112679526400 is an frugal number, since it uses more digits than its factorization.

14112679526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 14112679526400 in words is "fourteen trillion, one hundred twelve billion, six hundred seventy-nine million, five hundred twenty-six thousand, four hundred".