14249012164992 has 448 divisors, whose sum is σ = 49160951289360. Its totient is φ = 4063884410880.

The previous prime is 14249012164991. The next prime is 14249012164997. The reversal of 14249012164992 is 29946121094241.

14249012164992 is a `hidden beast` number, since 1 + 4 + 2 + 490 + 1 + 2 + 1 + 64 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14249012164991) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17041048 + ... + 17857640.

Almost surely, 2^{14249012164992} is an apocalyptic number.

14249012164992 is a gapful number since it is divisible by the number (12) 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 14249012164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24580475644680).

14249012164992 is an abundant number, since it is smaller than the sum of its proper divisors (34911939124368).

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

14249012164992 is an equidigital number, since it uses as much as digits as its factorization.

14249012164992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816653 (or 816626 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 14249012164992 in words is "fourteen trillion, two hundred forty-nine billion, twelve million, one hundred sixty-four thousand, nine hundred ninety-two".