1945149736800 has 72 divisors (see below), whose sum is σ = 6331462401096. Its totient is φ = 518706595840.

The previous prime is 1945149736799. The next prime is 1945149736867. The reversal of 1945149736800 is 86379415491.

It is a happy number.

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, 405237129 + ... + 405241928.

It is an arithmetic number, because the mean of its divisors is an integer number (87936977793).

Almost surely, 2^{1945149736800} is an apocalyptic number.

1945149736800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1945149736800 is an abundant number, since it is smaller than the sum of its proper divisors (4386312664296).

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

1945149736800 is a wasteful number, since it uses less digits than its factorization.

1945149736800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810479080 (or 810479067 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 1945149736800 in words is "one trillion, nine hundred forty-five billion, one hundred forty-nine million, seven hundred thirty-six thousand, eight hundred".