1301187364416 has 147 divisors (see below), whose sum is σ = 3872027765073. Its totient is φ = 433646991360.

The previous prime is 1301187364361. The next prime is 1301187364423. The reversal of 1301187364416 is 6144637811031.

It is a happy number.

The square root of 1301187364416 is 1140696.

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

1301187364416 is a `hidden beast` number, since 130 + 1 + 1 + 8 + 73 + 6 + 441 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 171813566016 + 1129373798400 = 414504^2 + 1062720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 246387696 + ... + 246392976.

Almost surely, 2^{1301187364416} is an apocalyptic number.

1301187364416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1301187364416 is the 1140696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301187364416

1301187364416 is an abundant number, since it is smaller than the sum of its proper divisors (2570840400657).

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

1301187364416 is an frugal number, since it uses more digits than its factorization.

1301187364416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10592 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1301187364416 in words is "one trillion, three hundred one billion, one hundred eighty-seven million, three hundred sixty-four thousand, four hundred sixteen".