1362000100656 has 160 divisors (see below), whose sum is σ = 3994446839040. Its totient is φ = 396436626432.

The previous prime is 1362000100583. The next prime is 1362000100667. The reversal of 1362000100656 is 6560010002631.

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 31 ways as a sum of consecutive naturals, for example, 8013550 + ... + 8181746.

It is an arithmetic number, because the mean of its divisors is an integer number (24965292744).

Almost surely, 2^{1362000100656} is an apocalyptic number.

1362000100656 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 1362000100656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997223419520).

1362000100656 is an abundant number, since it is smaller than the sum of its proper divisors (2632446738384).

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

1362000100656 is a wasteful number, since it uses less digits than its factorization.

1362000100656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168923 (or 168917 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 1362000100656 in words is "one trillion, three hundred sixty-two billion, one hundred thousand, six hundred fifty-six".