93806465040 has 160 divisors (see below), whose sum is σ = 323270559360. Its totient is φ = 25002717696.

The previous prime is 93806465009. The next prime is 93806465047. The reversal of 93806465040 is 4056460839.

93806465040 is a `hidden beast` number, since 9 + 3 + 80 + 64 + 6 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (93806465047) 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, 4887142 + ... + 4906298.

It is an arithmetic number, because the mean of its divisors is an integer number (2020440996).

Almost surely, 2^93806465040 is an apocalyptic number.

93806465040 is a gapful number since it is divisible by the number (90) 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 93806465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161635279680).

93806465040 is an abundant number, since it is smaller than the sum of its proper divisors (229464094320).

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

93806465040 is a wasteful number, since it uses less digits than its factorization.

93806465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21446 (or 21434 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 93806465040 in words is "ninety-three billion, eight hundred six million, four hundred sixty-five thousand, forty".