14446022153680 has 320 divisors, whose sum is σ = 39183282109440. Its totient is φ = 4905464758272.

The previous prime is 14446022153657. The next prime is 14446022153681. The reversal of 14446022153680 is 8635122064441.

It is a super-2 number, since 2×14446022153680² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14446022153680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14446022153681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135428527 + ... + 135535153.

It is an arithmetic number, because the mean of its divisors is an integer number (122447756592).

Almost surely, 2^{14446022153680} is an apocalyptic number.

14446022153680 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 14446022153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19591641054720).

14446022153680 is an abundant number, since it is smaller than the sum of its proper divisors (24737259955760).

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

14446022153680 is a wasteful number, since it uses less digits than its factorization.

14446022153680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106846 (or 106840 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 14446022153680 in words is "fourteen trillion, four hundred forty-six billion, twenty-two million, one hundred fifty-three thousand, six hundred eighty".