1516613868 has 480 divisors, whose sum is σ = 5339271168. Its totient is φ = 363916800.

The previous prime is 1516613863. The next prime is 1516613881. The reversal of 1516613868 is 8683166151.

1516613868 is a `hidden beast` number, since 15 + 16 + 613 + 8 + 6 + 8 = 666.

Its product of digits (207360) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1516613863) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28615330 + ... + 28615382.

Almost surely, 2^1516613868 is an apocalyptic number.

1516613868 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 1516613868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669635584).

1516613868 is an abundant number, since it is smaller than the sum of its proper divisors (3822657300).

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

1516613868 is a wasteful number, since it uses less digits than its factorization.

1516613868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1516613868 is about 38943.7269402917. The cubic root of 1516613868 is about 1148.9249860700.

The spelling of 1516613868 in words is "one billion, five hundred sixteen million, six hundred thirteen thousand, eight hundred sixty-eight".