14492346361920 has 1344 divisors, whose sum is σ = 62307947520000. Its totient is φ = 3132147916800.

The previous prime is 14492346361877. The next prime is 14492346362009. The reversal of 14492346361920 is 2916364329441.

It is a happy number.

14492346361920 is a `hidden beast` number, since 1 + 4 + 4 + 92 + 3 + 463 + 6 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7249797081 + ... + 7249799079.

It is an arithmetic number, because the mean of its divisors is an integer number (46360080000).

Almost surely, 2^{14492346361920} is an apocalyptic number.

14492346361920 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 14492346361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31153973760000).

14492346361920 is an abundant number, since it is smaller than the sum of its proper divisors (47815601158080).

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

14492346361920 is a wasteful number, since it uses less digits than its factorization.

14492346361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 14492346361920 in words is "fourteen trillion, four hundred ninety-two billion, three hundred forty-six million, three hundred sixty-one thousand, nine hundred twenty".