1945000512000 has 4800 divisors, whose sum is σ = 9862078786560. Its totient is φ = 376233984000.

The previous prime is 1945000511989. The next prime is 1945000512011. The reversal of 1945000512000 is 2150005491.

1945000512000 is a `hidden beast` number, since 1 + 9 + 450 + 0 + 0 + 5 + 1 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1945000511989) and next prime (1945000512011).

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 62741951985 + ... + 62741952015.

Almost surely, 2^{1945000512000} is an apocalyptic number.

1945000512000 is a gapful number since it is divisible by the number (10) 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 1945000512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931039393280).

1945000512000 is an abundant number, since it is smaller than the sum of its proper divisors (7917078274560).

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

1945000512000 is a wasteful number, since it uses less digits than its factorization.

1945000512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 80 counting only the distinct ones).

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

Adding to 1945000512000 its reverse (2150005491), we get a palindrome (1947150517491).

The spelling of 1945000512000 in words is "one trillion, nine hundred forty-five billion, five hundred twelve thousand".