995121166032 has 480 divisors, whose sum is σ = 3315286141440. Its totient is φ = 272759685120.

The previous prime is 995121166007. The next prime is 995121166063. The reversal of 995121166032 is 230661121599.

995121166032 is a `hidden beast` number, since 9 + 9 + 5 + 1 + 21 + 16 + 603 + 2 = 666.

It is a super-2 number, since 2×995121166032² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 668314344 + ... + 668315832.

It is an arithmetic number, because the mean of its divisors is an integer number (6906846128).

Almost surely, 2^995121166032 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 995121166032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657643070720).

995121166032 is an abundant number, since it is smaller than the sum of its proper divisors (2320164975408).

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

995121166032 is a wasteful number, since it uses less digits than its factorization.

995121166032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 995121166032 in words is "nine hundred ninety-five billion, one hundred twenty-one million, one hundred sixty-six thousand, thirty-two".