23151695616 has 432 divisors, whose sum is σ = 84347131680. Its totient is φ = 6224117760.

The previous prime is 23151695587. The next prime is 23151695647. The reversal of 23151695616 is 61659615132.

23151695616 is a `hidden beast` number, since 2 + 3 + 15 + 16 + 9 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

Its product of digits (291600) is a multiple of the sum of its prime divisors (4050).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5755686 + ... + 5759706.

It is an arithmetic number, because the mean of its divisors is an integer number (195247990).

Almost surely, 2^23151695616 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 23151695616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42173565840).

23151695616 is an abundant number, since it is smaller than the sum of its proper divisors (61195436064).

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

23151695616 is a wasteful number, since it uses less digits than its factorization.

23151695616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4050 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 23151695616 in words is "twenty-three billion, one hundred fifty-one million, six hundred ninety-five thousand, six hundred sixteen".