1945884816 has 40 divisors (see below), whose sum is σ = 5585411360. Its totient is φ = 648628128.

The previous prime is 1945884803. The next prime is 1945884827. The reversal of 1945884816 is 6184885491.

It is a happy number.

1945884816 is a `hidden beast` number, since 1 + 9 + 4 + 588 + 48 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2251750 + ... + 2252613.

It is an arithmetic number, because the mean of its divisors is an integer number (139635284).

Almost surely, 2^1945884816 is an apocalyptic number.

1945884816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1945884816 is an abundant number, since it is smaller than the sum of its proper divisors (3639526544).

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

1945884816 is a wasteful number, since it uses less digits than its factorization.

1945884816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504380 (or 4504368 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 1945884816 is about 44112.1844392227. The cubic root of 1945884816 is about 1248.4535149095.

The spelling of 1945884816 in words is "one billion, nine hundred forty-five million, eight hundred eighty-four thousand, eight hundred sixteen".