14205145712352 has 384 divisors, whose sum is σ = 44049625804800. Its totient is φ = 3924331462656.

The previous prime is 14205145712347. The next prime is 14205145712369. The reversal of 14205145712352 is 25321754150241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1215251724 + ... + 1215263412.

It is an arithmetic number, because the mean of its divisors is an integer number (114712567200).

Almost surely, 2^{14205145712352} is an apocalyptic number.

14205145712352 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 14205145712352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22024812902400).

14205145712352 is an abundant number, since it is smaller than the sum of its proper divisors (29844480092448).

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

14205145712352 is a wasteful number, since it uses less digits than its factorization.

14205145712352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12218 (or 12210 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

Adding to 14205145712352 its reverse (25321754150241), we get a palindrome (39526899862593).

The spelling of 14205145712352 in words is "fourteen trillion, two hundred five billion, one hundred forty-five million, seven hundred twelve thousand, three hundred fifty-two".