1613483788224 has 896 divisors, whose sum is σ = 5907579955200. Its totient is φ = 383665766400.

The previous prime is 1613483788223. The next prime is 1613483788237. The reversal of 1613483788224 is 4228873843161.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613483788223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 455655894 + ... + 455659434.

It is an arithmetic number, because the mean of its divisors is an integer number (6593281200).

Almost surely, 2^{1613483788224} is an apocalyptic number.

1613483788224 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 1613483788224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953789977600).

1613483788224 is an abundant number, since it is smaller than the sum of its proper divisors (4294096166976).

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

1613483788224 is a wasteful number, since it uses less digits than its factorization.

1613483788224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3618 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 57.

The spelling of 1613483788224 in words is "one trillion, six hundred thirteen billion, four hundred eighty-three million, seven hundred eighty-eight thousand, two hundred twenty-four".