1835338213368 has 384 divisors, whose sum is σ = 5906630016000. Its totient is φ = 526183257600.

The previous prime is 1835338213363. The next prime is 1835338213403. The reversal of 1835338213368 is 8633128335381.

1835338213368 is a `hidden beast` number, since 1 + 8 + 35 + 3 + 38 + 213 + 368 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1835338213363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452385996 + ... + 452390052.

It is an arithmetic number, because the mean of its divisors is an integer number (15381849000).

Almost surely, 2^{1835338213368} is an apocalyptic number.

1835338213368 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 1835338213368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953315008000).

1835338213368 is an abundant number, since it is smaller than the sum of its proper divisors (4071291802632).

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

1835338213368 is a wasteful number, since it uses less digits than its factorization.

1835338213368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5003 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 1835338213368 in words is "one trillion, eight hundred thirty-five billion, three hundred thirty-eight million, two hundred thirteen thousand, three hundred sixty-eight".