85613439348 has 96 divisors (see below), whose sum is σ = 234001152000. Its totient is φ = 26994371040.

The previous prime is 85613439341. The next prime is 85613439349. The reversal of 85613439348 is 84393431658.

85613439348 is a `hidden beast` number, since 8 + 561 + 3 + 4 + 39 + 3 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85613439294 and 85613439303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85613439341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1320613 + ... + 1383923.

It is an arithmetic number, because the mean of its divisors is an integer number (2437512000).

Almost surely, 2^85613439348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85613439348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117000576000).

85613439348 is an abundant number, since it is smaller than the sum of its proper divisors (148387712652).

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

85613439348 is a wasteful number, since it uses less digits than its factorization.

85613439348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64002 (or 63994 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 85613439348 in words is "eighty-five billion, six hundred thirteen million, four hundred thirty-nine thousand, three hundred forty-eight".