85542463314 has 192 divisors, whose sum is σ = 240423386112. Its totient is φ = 22145659200.

The previous prime is 85542463313. The next prime is 85542463333. The reversal of 85542463314 is 41336424558.

85542463314 is a `hidden beast` number, since 8 + 5 + 5 + 4 + 2 + 4 + 633 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85542463314.

It is not an unprimeable number, because it can be changed into a prime (85542463313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11859169 + ... + 11866379.

It is an arithmetic number, because the mean of its divisors is an integer number (1252205136).

Almost surely, 2^85542463314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85542463314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120211693056).

85542463314 is an abundant number, since it is smaller than the sum of its proper divisors (154880922798).

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

85542463314 is a wasteful number, since it uses less digits than its factorization.

85542463314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7563 (or 7551 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 85542463314 in words is "eighty-five billion, five hundred forty-two million, four hundred sixty-three thousand, three hundred fourteen".