65483433438456 has 256 divisors, whose sum is σ = 186780214656000. Its totient is φ = 18937551790080.

The previous prime is 65483433438443. The next prime is 65483433438487.

65483433438456 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×65483433438456² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 5078984746 + ... + 5078997638.

It is an arithmetic number, because the mean of its divisors is an integer number (729610213500).

Almost surely, 2^{65483433438456} is an apocalyptic number.

65483433438456 is a gapful number since it is divisible by the number (66) 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 65483433438456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93390107328000).

65483433438456 is an abundant number, since it is smaller than the sum of its proper divisors (121296781217544).

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

65483433438456 is a wasteful number, since it uses less digits than its factorization.

65483433438456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14774 (or 14770 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 66.

The spelling of 65483433438456 in words is "sixty-five trillion, four hundred eighty-three billion, four hundred thirty-three million, four hundred thirty-eight thousand, four hundred fifty-six".