1838425958208 has 1120 divisors, whose sum is σ = 6852252008448. Its totient is φ = 475269120000.

The previous prime is 1838425958179. The next prime is 1838425958209. The reversal of 1838425958208 is 8028595248381.

1838425958208 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 42 + 5 + 9 + 582 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838425958209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4800067585 + ... + 4800067967.

Almost surely, 2^{1838425958208} is an apocalyptic number.

1838425958208 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 1838425958208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426126004224).

1838425958208 is an abundant number, since it is smaller than the sum of its proper divisors (5013826050240).

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

1838425958208 is a wasteful number, since it uses less digits than its factorization.

1838425958208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 1838425958208 in words is "one trillion, eight hundred thirty-eight billion, four hundred twenty-five million, nine hundred fifty-eight thousand, two hundred eight".