83466137664 has 448 divisors, whose sum is σ = 305775034880. Its totient is φ = 22009688064.

The previous prime is 83466137621. The next prime is 83466137669. The reversal of 83466137664 is 46673166438.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×83466137664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 83466137664.

It is not an unprimeable number, because it can be changed into a prime (83466137669) 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, 12733812 + ... + 12740364.

It is an arithmetic number, because the mean of its divisors is an integer number (682533560).

Almost surely, 2^83466137664 is an apocalyptic number.

83466137664 is a gapful number since it is divisible by the number (84) 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 83466137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152887517440).

83466137664 is an abundant number, since it is smaller than the sum of its proper divisors (222308897216).

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

83466137664 is an equidigital number, since it uses as much as digits as its factorization.

83466137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606 (or 6578 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 83466137664 in words is "eighty-three billion, four hundred sixty-six million, one hundred thirty-seven thousand, six hundred sixty-four".