1813968000 has 1024 divisors, whose sum is σ = 8019648000. Its totient is φ = 398131200.

The previous prime is 1813967993. The next prime is 1813968001. The reversal of 1813968000 is 8693181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1813968001) 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, 95471991 + ... + 95472009.

Almost surely, 2^1813968000 is an apocalyptic number.

1813968000 is a gapful number since it is divisible by the number (10) 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 1813968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824000).

1813968000 is an abundant number, since it is smaller than the sum of its proper divisors (6205680000).

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

1813968000 is a wasteful number, since it uses less digits than its factorization.

1813968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1813968000 is about 42590.7032109121. The cubic root of 1813968000 is about 1219.5788208413.

The spelling of 1813968000 in words is "one billion, eight hundred thirteen million, nine hundred sixty-eight thousand".