1516109540416 has 21 divisors (see below), whose sum is σ = 3008549416341. Its totient is φ = 758049844992.

The previous prime is 1516109540359. The next prime is 1516109540417. The reversal of 1516109540416 is 6140459016151.

It is a happy number.

The square root of 1516109540416 is 1231304.

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., 82093710400 + 1434015830016 = 286520^2 + 1197504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1516109540417) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9773476 + ... + 9927388.

It is an arithmetic number, because the mean of its divisors is an integer number (143264257921).

Almost surely, 2^{1516109540416} is an apocalyptic number.

1516109540416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1516109540416 is the 1231304-th square number.

It is an amenable number.

1516109540416 is a deficient number, since it is larger than the sum of its proper divisors (1492439875925).

1516109540416 is an frugal number, since it uses more digits than its factorization.

1516109540416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307838 (or 153915 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 1516109540416 in words is "one trillion, five hundred sixteen billion, one hundred nine million, five hundred forty thousand, four hundred sixteen".