23316161783040 has 2304 divisors, whose sum is σ = 100993510195200. Its totient is φ = 4979251740672.

The previous prime is 23316161783011. The next prime is 23316161783041. The reversal of 23316161783040 is 4038716161332.

23316161783040 is a `hidden beast` number, since 2 + 3 + 316 + 16 + 17 + 8 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×23316161783040³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23316161783041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55647163951 + ... + 55647164369.

It is an arithmetic number, because the mean of its divisors is an integer number (43833988800).

Almost surely, 2^{23316161783040} is an apocalyptic number.

23316161783040 is a gapful number since it is divisible by the number (20) 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 23316161783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50496755097600).

23316161783040 is an abundant number, since it is smaller than the sum of its proper divisors (77677348412160).

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

23316161783040 is a wasteful number, since it uses less digits than its factorization.

23316161783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 23316161783040 in words is "twenty-three trillion, three hundred sixteen billion, one hundred sixty-one million, seven hundred eighty-three thousand, forty".