1396045518336 has 1600 divisors, whose sum is σ = 5390205004800. Its totient is φ = 357654528000.

The previous prime is 1396045518289. The next prime is 1396045518379. The reversal of 1396045518336 is 6338155406931.

1396045518336 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 0 + 4 + 551 + 83 + 3 + 6 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5561934211 + ... + 5561934461.

It is an arithmetic number, because the mean of its divisors is an integer number (3368878128).

Almost surely, 2^{1396045518336} is an apocalyptic number.

1396045518336 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 1396045518336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695102502400).

1396045518336 is an abundant number, since it is smaller than the sum of its proper divisors (3994159486464).

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

1396045518336 is an equidigital number, since it uses as much as digits as its factorization.

1396045518336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 1396045518336 in words is "one trillion, three hundred ninety-six billion, forty-five million, five hundred eighteen thousand, three hundred thirty-six".