1638252048384 has 832 divisors, whose sum is σ = 5907333473280. Its totient is φ = 437979709440.

The previous prime is 1638252048331. The next prime is 1638252048397. The reversal of 1638252048384 is 4838402528361.

1638252048384 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 252 + 0 + 4 + 8 + 384 = 666.

It is a super-2 number, since 2×1638252048384² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1638252048384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3698085667 + ... + 3698086109.

Almost surely, 2^{1638252048384} is an apocalyptic number.

1638252048384 is a gapful number since it is divisible by the number (14) 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 1638252048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953666736640).

1638252048384 is an abundant number, since it is smaller than the sum of its proper divisors (4269081424896).

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

1638252048384 is a wasteful number, since it uses less digits than its factorization.

1638252048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 1638252048384 in words is "one trillion, six hundred thirty-eight billion, two hundred fifty-two million, forty-eight thousand, three hundred eighty-four".