1361999118816 has 960 divisors, whose sum is σ = 4990930560000. Its totient is φ = 363332293632.

The previous prime is 1361999118749. The next prime is 1361999118901. The reversal of 1361999118816 is 6188119991631.

1361999118816 is a `hidden beast` number, since 1 + 3 + 619 + 9 + 9 + 1 + 1 + 8 + 8 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 879275610 + ... + 879277158.

It is an arithmetic number, because the mean of its divisors is an integer number (5198886000).

Almost surely, 2^{1361999118816} is an apocalyptic number.

1361999118816 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 1361999118816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495465280000).

1361999118816 is an abundant number, since it is smaller than the sum of its proper divisors (3628931441184).

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

1361999118816 is a wasteful number, since it uses less digits than its factorization.

1361999118816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1627 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 63.

The spelling of 1361999118816 in words is "one trillion, three hundred sixty-one billion, nine hundred ninety-nine million, one hundred eighteen thousand, eight hundred sixteen".