1361486006496 has 432 divisors, whose sum is σ = 5095273921920. Its totient is φ = 353631640320.

The previous prime is 1361486006479. The next prime is 1361486006539. The reversal of 1361486006496 is 6946006841631.

1361486006496 is a `hidden beast` number, since 1 + 3 + 6 + 148 + 6 + 0 + 0 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4028845 + ... + 4353683.

It is an arithmetic number, because the mean of its divisors is an integer number (11794615560).

Almost surely, 2^{1361486006496} is an apocalyptic number.

1361486006496 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 1361486006496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547636960960).

1361486006496 is an abundant number, since it is smaller than the sum of its proper divisors (3733787915424).

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

1361486006496 is a wasteful number, since it uses less digits than its factorization.

1361486006496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324889 (or 324862 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1361486006496 in words is "one trillion, three hundred sixty-one billion, four hundred eighty-six million, six thousand, four hundred ninety-six".