82348868448 has 432 divisors, whose sum is σ = 303527637504. Its totient is φ = 20932369920.

The previous prime is 82348868429. The next prime is 82348868477. The reversal of 82348868448 is 84486884328.

82348868448 is a `hidden beast` number, since 82 + 34 + 8 + 86 + 8 + 448 = 666.

It is a super-2 number, since 2×82348868448² (a number of 23 digits) contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7290261 + ... + 7301547.

It is an arithmetic number, because the mean of its divisors is an integer number (702610272).

Almost surely, 2^82348868448 is an apocalyptic number.

82348868448 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 82348868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151763818752).

82348868448 is an abundant number, since it is smaller than the sum of its proper divisors (221178769056).

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

82348868448 is a wasteful number, since it uses less digits than its factorization.

82348868448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11375 (or 11357 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 63.

The spelling of 82348868448 in words is "eighty-two billion, three hundred forty-eight million, eight hundred sixty-eight thousand, four hundred forty-eight".