13964622890280 has 256 divisors, whose sum is σ = 44996912640000. Its totient is φ = 3456252214272.

The previous prime is 13964622890279. The next prime is 13964622890291. The reversal of 13964622890280 is 8209822646931.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 82449121 + ... + 82618319.

It is an arithmetic number, because the mean of its divisors is an integer number (175769190000).

Almost surely, 2^{13964622890280} is an apocalyptic number.

13964622890280 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 13964622890280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498456320000).

13964622890280 is an abundant number, since it is smaller than the sum of its proper divisors (31032289749720).

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

13964622890280 is a wasteful number, since it uses less digits than its factorization.

13964622890280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169968 (or 169964 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 13964622890280 in words is "thirteen trillion, nine hundred sixty-four billion, six hundred twenty-two million, eight hundred ninety thousand, two hundred eighty".