1945162816 has 63 divisors (see below), whose sum is σ = 3993877839. Its totient is φ = 939944448.

The previous prime is 1945162787. The next prime is 1945162819. The reversal of 1945162816 is 6182615491.

The square root of 1945162816 is 44104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 705600 + 1944457216 = 840^2 + 44096^2 .

It is a Duffinian number.

Its product of digits (103680) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (1945162819) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13054710 + ... + 13054858.

Almost surely, 2^1945162816 is an apocalyptic number.

1945162816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1945162816 is the 44104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1945162816

1945162816 is an abundant number, since it is smaller than the sum of its proper divisors (2048715023).

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

1945162816 is an frugal number, since it uses more digits than its factorization.

1945162816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 188 counting only the distinct ones).

The product of its digits is 103680, while the sum is 43.

The cubic root of 1945162816 is about 1248.2990873133.

The spelling of 1945162816 in words is "one billion, nine hundred forty-five million, one hundred sixty-two thousand, eight hundred sixteen".