3516416146152 has 384 divisors, whose sum is σ = 12458137036800. Its totient is φ = 870062363136.

The previous prime is 3516416146063. The next prime is 3516416146189. The reversal of 3516416146152 is 2516416146153.

3516416146152 is a `hidden beast` number, since 3 + 5 + 1 + 6 + 4 + 16 + 14 + 615 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3516416146098 and 3516416146107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12685143 + ... + 12959385.

It is an arithmetic number, because the mean of its divisors is an integer number (32443065200).

Almost surely, 2^{3516416146152} 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 3516416146152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6229068518400).

3516416146152 is an abundant number, since it is smaller than the sum of its proper divisors (8941720890648).

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

3516416146152 is a wasteful number, since it uses less digits than its factorization.

3516416146152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274397 (or 274390 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

Subtracting from 3516416146152 its reverse (2516416146153), we obtain a palindrome (999999999999).

The spelling of 3516416146152 in words is "three trillion, five hundred sixteen billion, four hundred sixteen million, one hundred forty-six thousand, one hundred fifty-two".