1396188638208 has 2112 divisors, whose sum is σ = 5661809418240. Its totient is φ = 335385722880.

The previous prime is 1396188638161. The next prime is 1396188638219. The reversal of 1396188638208 is 8028368816931.

1396188638208 is a `hidden beast` number, since 1 + 3 + 9 + 618 + 8 + 6 + 3 + 8 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×1396188638208² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45038343153 + ... + 45038343183.

Almost surely, 2^{1396188638208} is an apocalyptic number.

1396188638208 is a gapful number since it is divisible by the number (18) 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 1396188638208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830904709120).

1396188638208 is an abundant number, since it is smaller than the sum of its proper divisors (4265620780032).

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

1396188638208 is an equidigital number, since it uses as much as digits as its factorization.

1396188638208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 1396188638208 in words is "one trillion, three hundred ninety-six billion, one hundred eighty-eight million, six hundred thirty-eight thousand, two hundred eight".