1638196365312 has 384 divisors, whose sum is σ = 5232953980800. Its totient is φ = 503391780864.

The previous prime is 1638196365277. The next prime is 1638196365329. The reversal of 1638196365312 is 2135636918361.

1638196365312 is a `hidden beast` number, since 1 + 6 + 38 + 19 + 63 + 6 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025795298 + ... + 1025796894.

It is an arithmetic number, because the mean of its divisors is an integer number (13627484325).

Almost surely, 2^{1638196365312} is an apocalyptic number.

1638196365312 is a gapful number since it is divisible by the number (12) 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 1638196365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616476990400).

1638196365312 is an abundant number, since it is smaller than the sum of its proper divisors (3594757615488).

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

1638196365312 is a wasteful number, since it uses less digits than its factorization.

1638196365312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3042 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 1638196365312 in words is "one trillion, six hundred thirty-eight billion, one hundred ninety-six million, three hundred sixty-five thousand, three hundred twelve".