152361111168 has 576 divisors, whose sum is σ = 543646209600. Its totient is φ = 40696233984.

The previous prime is 152361111103. The next prime is 152361111181. The reversal of 152361111168 is 861111163251.

152361111168 is a `hidden beast` number, since 1 + 5 + 23 + 611 + 1 + 1 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 171770821 + ... + 171771707.

It is an arithmetic number, because the mean of its divisors is an integer number (943830225).

Almost surely, 2^152361111168 is an apocalyptic number.

152361111168 is a gapful number since it is divisible by the number (18) 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 152361111168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271823104800).

152361111168 is an abundant number, since it is smaller than the sum of its proper divisors (391285098432).

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

152361111168 is a wasteful number, since it uses less digits than its factorization.

152361111168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1095 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The spelling of 152361111168 in words is "one hundred fifty-two billion, three hundred sixty-one million, one hundred eleven thousand, one hundred sixty-eight".