1516946704 has 135 divisors (see below), whose sum is σ = 3737083077. Its totient is φ = 594502272.

The previous prime is 1516946677. The next prime is 1516946723. The reversal of 1516946704 is 4076496151.

The square root of 1516946704 is 38948.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 224400400 + 1292546304 = 14980^2 + 35952^2 .

It is a super-2 number, since 2×1516946704² = 4602254605552927232, which contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 14177019 + ... + 14177125.

Almost surely, 2^1516946704 is an apocalyptic number.

1516946704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1516946704 is the 38948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516946704

1516946704 is an abundant number, since it is smaller than the sum of its proper divisors (2220136373).

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

1516946704 is a wasteful number, since it uses less digits than its factorization.

1516946704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The cubic root of 1516946704 is about 1149.0090275948.

The spelling of 1516946704 in words is "one billion, five hundred sixteen million, nine hundred forty-six thousand, seven hundred four".