13483865465840 has 320 divisors, whose sum is σ = 39517469291520. Its totient is φ = 4156479774720.

The previous prime is 13483865465803. The next prime is 13483865465849. The reversal of 13483865465840 is 4856456838431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13483865465849) 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, 367259324 + ... + 367296036.

It is an arithmetic number, because the mean of its divisors is an integer number (123492091536).

Almost surely, 2^{13483865465840} is an apocalyptic number.

13483865465840 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 13483865465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758734645760).

13483865465840 is an abundant number, since it is smaller than the sum of its proper divisors (26033603825680).

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

13483865465840 is a wasteful number, since it uses less digits than its factorization.

13483865465840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37400 (or 37394 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 65.

The spelling of 13483865465840 in words is "thirteen trillion, four hundred eighty-three billion, eight hundred sixty-five million, four hundred sixty-five thousand, eight hundred forty".