1945963008 has 320 divisors, whose sum is σ = 6411018240. Its totient is φ = 577843200.

The previous prime is 1945963003. The next prime is 1945963009. The reversal of 1945963008 is 8003695491.

It is a happy number.

1945963008 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 9 + 630 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1945963003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10188193 + ... + 10188383.

It is an arithmetic number, because the mean of its divisors is an integer number (20034432).

Almost surely, 2^1945963008 is an apocalyptic number.

1945963008 is a gapful number since it is divisible by the number (18) 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 1945963008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205509120).

1945963008 is an abundant number, since it is smaller than the sum of its proper divisors (4465055232).

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

1945963008 is a wasteful number, since it uses less digits than its factorization.

1945963008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1945963008 is about 44113.0707160587. The cubic root of 1945963008 is about 1248.4702369972.

The spelling of 1945963008 in words is "one billion, nine hundred forty-five million, nine hundred sixty-three thousand, eight".