1362955216896 has 1920 divisors, whose sum is σ = 5466078858240. Its totient is φ = 328187510784.

The previous prime is 1362955216867. The next prime is 1362955216933. The reversal of 1362955216896 is 6986125592631.

1362955216896 is a `hidden beast` number, since 1 + 3 + 6 + 29 + 5 + 521 + 6 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 12061550536 + ... + 12061550648.

It is an arithmetic number, because the mean of its divisors is an integer number (2846916072).

Almost surely, 2^{1362955216896} is an apocalyptic number.

1362955216896 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 1362955216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733039429120).

1362955216896 is an abundant number, since it is smaller than the sum of its proper divisors (4103123641344).

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

1362955216896 is a wasteful number, since it uses less digits than its factorization.

1362955216896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 1362955216896 in words is "one trillion, three hundred sixty-two billion, nine hundred fifty-five million, two hundred sixteen thousand, eight hundred ninety-six".