85414485408 has 192 divisors, whose sum is σ = 270203028480. Its totient is φ = 23079168000.

The previous prime is 85414485397. The next prime is 85414485421. The reversal of 85414485408 is 80458441458.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7668003 + ... + 7679133.

It is an arithmetic number, because the mean of its divisors is an integer number (1407307440).

Almost surely, 2^85414485408 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 85414485408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135101514240).

85414485408 is an abundant number, since it is smaller than the sum of its proper divisors (184788543072).

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

85414485408 is a wasteful number, since it uses less digits than its factorization.

85414485408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11771 (or 11763 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 51.

The spelling of 85414485408 in words is "eighty-five billion, four hundred fourteen million, four hundred eighty-five thousand, four hundred eight".