1813465962 has 192 divisors, whose sum is σ = 5229772800. Its totient is φ = 455479200.

The previous prime is 1813465943. The next prime is 1813465987. The reversal of 1813465962 is 2695643181.

1813465962 is a `hidden beast` number, since 1 + 8 + 13 + 46 + 596 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1417239 + ... + 1418517.

It is an arithmetic number, because the mean of its divisors is an integer number (27238400).

Almost surely, 2^1813465962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813465962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614886400).

1813465962 is an abundant number, since it is smaller than the sum of its proper divisors (3416306838).

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

1813465962 is a wasteful number, since it uses less digits than its factorization.

1813465962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1333 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1813465962 is about 42584.8090520552. The cubic root of 1813465962 is about 1219.4662993037.

The spelling of 1813465962 in words is "one billion, eight hundred thirteen million, four hundred sixty-five thousand, nine hundred sixty-two".