861605346000 has 640 divisors, whose sum is σ = 3345852137472. Its totient is φ = 186489600000.

The previous prime is 861605345999. The next prime is 861605346037. The reversal of 861605346000 is 643506168.

861605346000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 861605346000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97561585 + ... + 97570415.

Almost surely, 2^861605346000 is an apocalyptic number.

861605346000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861605346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672926068736).

861605346000 is an abundant number, since it is smaller than the sum of its proper divisors (2484246791472).

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

861605346000 is a wasteful number, since it uses less digits than its factorization.

861605346000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8988 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 861605346000 in words is "eight hundred sixty-one billion, six hundred five million, three hundred forty-six thousand".