85214356632 has 192 divisors, whose sum is σ = 239604393600. Its totient is φ = 27342282240.

The previous prime is 85214356607. The next prime is 85214356649. The reversal of 85214356632 is 23665341258.

85214356632 is a `hidden beast` number, since 8 + 5 + 2 + 1 + 4 + 3 + 5 + 6 + 632 = 666.

It is a super-2 number, since 2×85214356632² (a number of 23 digits) contains 22 as substring.

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, 66108244 + ... + 66109532.

It is an arithmetic number, because the mean of its divisors is an integer number (1247939550).

Almost surely, 2^85214356632 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 85214356632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119802196800).

85214356632 is an abundant number, since it is smaller than the sum of its proper divisors (154390036968).

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

85214356632 is a wasteful number, since it uses less digits than its factorization.

85214356632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1631 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 85214356632 in words is "eighty-five billion, two hundred fourteen million, three hundred fifty-six thousand, six hundred thirty-two".