1516414848 has 256 divisors, whose sum is σ = 4606156800. Its totient is φ = 438681600.

The previous prime is 1516414811. The next prime is 1516414883. The reversal of 1516414848 is 8484146151.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6344713 + ... + 6344951.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^1516414848 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 1516414848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303078400).

1516414848 is an abundant number, since it is smaller than the sum of its proper divisors (3089741952).

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

1516414848 is a wasteful number, since it uses less digits than its factorization.

1516414848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 1516414848 is about 38941.1716310642. The cubic root of 1516414848 is about 1148.8747273856.

The spelling of 1516414848 in words is "one billion, five hundred sixteen million, four hundred fourteen thousand, eight hundred forty-eight".