1835603113344 has 1536 divisors, whose sum is σ = 7060918502400. Its totient is φ = 409915883520.

The previous prime is 1835603113343. The next prime is 1835603113369. The reversal of 1835603113344 is 4433113065381.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1835603113296 and 1835603113305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1835603113343) 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 191 ways as a sum of consecutive naturals, for example, 5864546532 + ... + 5864546844.

It is an arithmetic number, because the mean of its divisors is an integer number (4596952150).

Almost surely, 2^{1835603113344} is an apocalyptic number.

1835603113344 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 1835603113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530459251200).

1835603113344 is an abundant number, since it is smaller than the sum of its proper divisors (5225315389056).

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

1835603113344 is a wasteful number, since it uses less digits than its factorization.

1835603113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 1835603113344 in words is "one trillion, eight hundred thirty-five billion, six hundred three million, one hundred thirteen thousand, three hundred forty-four".