83308634318448 has 240 divisors, whose sum is σ = 290732659776000. Its totient is φ = 21634582878720.

The previous prime is 83308634318407. The next prime is 83308634318473. The reversal of 83308634318448 is 84481343680338.

83308634318448 is a `hidden beast` number, since 8 + 3 + 3 + 0 + 86 + 3 + 431 + 84 + 48 = 666.

It is a super-2 number, since 2×83308634318448² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59168298 + ... + 60559926.

It is an arithmetic number, because the mean of its divisors is an integer number (1211386082400).

Almost surely, 2^{83308634318448} is an apocalyptic number.

83308634318448 is a gapful number since it is divisible by the number (88) 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 83308634318448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145366329888000).

83308634318448 is an abundant number, since it is smaller than the sum of its proper divisors (207424025457552).

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

83308634318448 is a wasteful number, since it uses less digits than its factorization.

83308634318448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397060 (or 1397051 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 83308634318448 in words is "eighty-three trillion, three hundred eight billion, six hundred thirty-four million, three hundred eighteen thousand, four hundred forty-eight".