85461202464 has 192 divisors, whose sum is σ = 253963745280. Its totient is φ = 24925824000.

The previous prime is 85461202457. The next prime is 85461202483. The reversal of 85461202464 is 46420216458.

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, 10132329 + ... + 10140759.

It is an arithmetic number, because the mean of its divisors is an integer number (1322727840).

Almost surely, 2^85461202464 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 85461202464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126981872640).

85461202464 is an abundant number, since it is smaller than the sum of its proper divisors (168502542816).

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

85461202464 is a wasteful number, since it uses less digits than its factorization.

85461202464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8815 (or 8807 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 85461202464 in words is "eighty-five billion, four hundred sixty-one million, two hundred two thousand, four hundred sixty-four".