1516416264 has 192 divisors, whose sum is σ = 4687113600. Its totient is φ = 438681600.

The previous prime is 1516416259. The next prime is 1516416281. The reversal of 1516416264 is 4626146151.

1516416264 is a `hidden beast` number, since 1 + 5 + 1 + 641 + 6 + 2 + 6 + 4 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365384 + ... + 2366024.

It is an arithmetic number, because the mean of its divisors is an integer number (24412050).

Almost surely, 2^1516416264 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 1516416264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343556800).

1516416264 is an abundant number, since it is smaller than the sum of its proper divisors (3170697336).

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

1516416264 is a wasteful number, since it uses less digits than its factorization.

1516416264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 789 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1516416264 is about 38941.1898123311. The cubic root of 1516416264 is about 1148.8750849847.

The spelling of 1516416264 in words is "one billion, five hundred sixteen million, four hundred sixteen thousand, two hundred sixty-four".