1201864919616 has 189 divisors, whose sum is σ = 3660854259049. Its totient is φ = 376915335168.

The previous prime is 1201864919609. The next prime is 1201864919617. The reversal of 1201864919616 is 6169194681021.

The square root of 1201864919616 is 1096296.

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

1201864919616 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 8 + 6 + 4 + 9 + 19 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 935707982400 + 266156937216 = 967320^2 + 515904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1201864919617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 447287425 + ... + 447290111.

Almost surely, 2^{1201864919616} is an apocalyptic number.

1201864919616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1201864919616 is the 1096296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201864919616

1201864919616 is an abundant number, since it is smaller than the sum of its proper divisors (2458989339433).

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

1201864919616 is an frugal number, since it uses more digits than its factorization.

1201864919616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1201864919616 in words is "one trillion, two hundred one billion, eight hundred sixty-four million, nine hundred nineteen thousand, six hundred sixteen".