1945000512 has 840 divisors, whose sum is σ = 7848234240. Its totient is φ = 470292480.

The previous prime is 1945000501. The next prime is 1945000529. The reversal of 1945000512 is 2150005491.

1945000512 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62741937 + ... + 62741967.

It is an arithmetic number, because the mean of its divisors is an integer number (9343136).

Almost surely, 2^1945000512 is an apocalyptic number.

1945000512 is a gapful number since it is divisible by the number (12) 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 1945000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924117120).

1945000512 is an abundant number, since it is smaller than the sum of its proper divisors (5903233728).

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

1945000512 is a wasteful number, since it uses less digits than its factorization.

1945000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1945000512 is about 44102.1599471046. The cubic root of 1945000512 is about 1248.2643670714.

The spelling of 1945000512 in words is "one billion, nine hundred forty-five million, five hundred twelve", and thus it is an aban number.