85181434632 has 384 divisors, whose sum is σ = 278625484800. Its totient is φ = 23004393984.

The previous prime is 85181434609. The next prime is 85181434633. The reversal of 85181434632 is 23643418158.

85181434632 is a `hidden beast` number, since 8 + 5 + 1 + 8 + 1 + 4 + 3 + 4 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (85181434633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98703433 + ... + 98704295.

It is an arithmetic number, because the mean of its divisors is an integer number (725587200).

Almost surely, 2^85181434632 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 85181434632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139312742400).

85181434632 is an abundant number, since it is smaller than the sum of its proper divisors (193444050168).

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

85181434632 is a wasteful number, since it uses less digits than its factorization.

85181434632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1058 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

It can be divided in two parts, 851814 and 34632, that added together give a triangular number (886446 = T₁₃₃₁).

The spelling of 85181434632 in words is "eighty-five billion, one hundred eighty-one million, four hundred thirty-four thousand, six hundred thirty-two".