1945165824 has 168 divisors, whose sum is σ = 6423446640. Its totient is φ = 555614208.

The previous prime is 1945165801. The next prime is 1945165853. The reversal of 1945165824 is 4285615491.

1945165824 is a `hidden beast` number, since 19 + 4 + 51 + 6 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1945165824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514212 + ... + 517980.

Almost surely, 2^1945165824 is an apocalyptic number.

1945165824 is a gapful number since it is divisible by the number (14) 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 1945165824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211723320).

1945165824 is an abundant number, since it is smaller than the sum of its proper divisors (4478280816).

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

1945165824 is an equidigital number, since it uses as much as digits as its factorization.

1945165824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3781 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1945165824 is about 44104.0341012021. The cubic root of 1945165824 is about 1248.2997307696.

The spelling of 1945165824 in words is "one billion, nine hundred forty-five million, one hundred sixty-five thousand, eight hundred twenty-four".