83331348480 has 576 divisors, whose sum is σ = 304870456800. Its totient is φ = 21857402880.

The previous prime is 83331348437. The next prime is 83331348481. The reversal of 83331348480 is 8484313338.

83331348480 is a `hidden beast` number, since 8 + 3 + 33 + 134 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×83331348480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83331348481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1366087650 + ... + 1366087710.

Almost surely, 2^83331348480 is an apocalyptic number.

83331348480 is a gapful number since it is divisible by the number (80) 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 83331348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152435228400).

83331348480 is an abundant number, since it is smaller than the sum of its proper divisors (221539108320).

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

83331348480 is an frugal number, since it uses more digits than its factorization.

83331348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 83331348480 in words is "eighty-three billion, three hundred thirty-one million, three hundred forty-eight thousand, four hundred eighty".