1945161216 has 400 divisors, whose sum is σ = 6416910720. Its totient is φ = 583925760.

The previous prime is 1945161173. The next prime is 1945161269. The reversal of 1945161216 is 6121615491.

1945161216 is a `hidden beast` number, since 19 + 4 + 516 + 121 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21855700 + ... + 21855788.

Almost surely, 2^1945161216 is an apocalyptic number.

1945161216 is a gapful number since it is divisible by the number (16) 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 1945161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208455360).

1945161216 is an abundant number, since it is smaller than the sum of its proper divisors (4471749504).

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

1945161216 is an equidigital number, since it uses as much as digits as its factorization.

1945161216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1945161216 is about 44103.9818610520. The cubic root of 1945161216 is about 1248.2987450490.

The spelling of 1945161216 in words is "one billion, nine hundred forty-five million, one hundred sixty-one thousand, two hundred sixteen".