1945557572224 has 288 divisors, whose sum is σ = 4819928384700. Its totient is φ = 777273606144.

The previous prime is 1945557572213. The next prime is 1945557572407. The reversal of 1945557572224 is 4222757555491.

It can be written as a sum of positive squares in 6 ways, for example, as 737665600 + 1944819906624 = 27160^2 + 1394568^2 .

Its product of digits (35280000) is a multiple of the sum of its prime divisors (1568).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1361481142 + ... + 1361482570.

Almost surely, 2^{1945557572224} is an apocalyptic number.

1945557572224 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 1945557572224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409964192350).

1945557572224 is an abundant number, since it is smaller than the sum of its proper divisors (2874370812476).

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

1945557572224 is a wasteful number, since it uses less digits than its factorization.

1945557572224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1568 counting only the distinct ones).

The product of its digits is 35280000, while the sum is 58.

The spelling of 1945557572224 in words is "one trillion, nine hundred forty-five billion, five hundred fifty-seven million, five hundred seventy-two thousand, two hundred twenty-four".