1945688750000 has 80 divisors (see below), whose sum is σ = 4712205905472. Its totient is φ = 778275000000.

The previous prime is 1945688749981. The next prime is 1945688750009. The reversal of 1945688750000 is 578865491.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1945688750009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471725 + ... + 2028275.

Almost surely, 2^{1945688750000} is an apocalyptic number.

1945688750000 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 1945688750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356102952736).

1945688750000 is an abundant number, since it is smaller than the sum of its proper divisors (2766517155472).

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

1945688750000 is an frugal number, since it uses more digits than its factorization.

1945688750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556594 (or 1556558 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 53.

The spelling of 1945688750000 in words is "one trillion, nine hundred forty-five billion, six hundred eighty-eight million, seven hundred fifty thousand".