1813950864 has 480 divisors, whose sum is σ = 6317595648. Its totient is φ = 479232000.

The previous prime is 1813950857. The next prime is 1813950877. The reversal of 1813950864 is 4680593181.

1813950864 is a `hidden beast` number, since 1 + 8 + 139 + 508 + 6 + 4 = 666.

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, 34225462 + ... + 34225514.

Almost surely, 2^1813950864 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 1813950864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158797824).

1813950864 is an abundant number, since it is smaller than the sum of its proper divisors (4503644784).

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

1813950864 is a wasteful number, since it uses less digits than its factorization.

1813950864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1813950864 is about 42590.5020397741. The cubic root of 1813950864 is about 1219.5749805000.

The spelling of 1813950864 in words is "one billion, eight hundred thirteen million, nine hundred fifty thousand, eight hundred sixty-four".