1362825081216 has 128 divisors (see below), whose sum is σ = 4258828562400. Its totient is φ = 427552948224.

The previous prime is 1362825081197. The next prime is 1362825081257. The reversal of 1362825081216 is 6121805282631.

1362825081216 is a `hidden beast` number, since 1 + 3 + 62 + 82 + 508 + 1 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11539365 + ... + 11656868.

Almost surely, 2^{1362825081216} is an apocalyptic number.

1362825081216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1362825081216 is an abundant number, since it is smaller than the sum of its proper divisors (2896003481184).

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

1362825081216 is a wasteful number, since it uses less digits than its factorization.

1362825081216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23196273 (or 23196255 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1362825081216 in words is "one trillion, three hundred sixty-two billion, eight hundred twenty-five million, eighty-one thousand, two hundred sixteen".