1813673568 has 96 divisors (see below), whose sum is σ = 5543790336. Its totient is φ = 508405248.

The previous prime is 1813673567. The next prime is 1813673591. The reversal of 1813673568 is 8653763181.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1813673568² = 6578823622523701248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813673567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10155 + ... + 61077.

It is an arithmetic number, because the mean of its divisors is an integer number (57747816).

Almost surely, 2^1813673568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813673568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771895168).

1813673568 is an abundant number, since it is smaller than the sum of its proper divisors (3730116768).

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

1813673568 is a wasteful number, since it uses less digits than its factorization.

1813673568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50996 (or 50988 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 1813673568 is about 42587.2465416585. The cubic root of 1813673568 is about 1219.5128324554.

The spelling of 1813673568 in words is "one billion, eight hundred thirteen million, six hundred seventy-three thousand, five hundred sixty-eight".