8385461106 has 64 divisors (see below), whose sum is σ = 19644788736. Its totient is φ = 2357868800.

The previous prime is 8385461101. The next prime is 8385461107. The reversal of 8385461106 is 6011645838.

It is not an unprimeable number, because it can be changed into a prime (8385461101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27031 + ... + 132293.

It is an arithmetic number, because the mean of its divisors is an integer number (306949824).

Almost surely, 2^8385461106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8385461106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9822394368).

8385461106 is an abundant number, since it is smaller than the sum of its proper divisors (11259327630).

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

8385461106 is a wasteful number, since it uses less digits than its factorization.

8385461106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105367.

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 8385461106 is about 91572.1633794899. The cubic root of 8385461106 is about 2031.6192364307.

The spelling of 8385461106 in words is "eight billion, three hundred eighty-five million, four hundred sixty-one thousand, one hundred six".