1201463663616 has 1232 divisors, whose sum is σ = 4123922227200. Its totient is φ = 347640201216.

The previous prime is 1201463663549. The next prime is 1201463663651. The reversal of 1201463663616 is 6163663641021.

1201463663616 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 4 + 6 + 3 + 6 + 636 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9460343745 + ... + 9460343871.

Almost surely, 2^{1201463663616} is an apocalyptic number.

1201463663616 is a gapful number since it is divisible by the number (16) 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 1201463663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061961113600).

1201463663616 is an abundant number, since it is smaller than the sum of its proper divisors (2922458563584).

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

1201463663616 is a wasteful number, since it uses less digits than its factorization.

1201463663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1201463663616 in words is "one trillion, two hundred one billion, four hundred sixty-three million, six hundred sixty-three thousand, six hundred sixteen".