1965448016 has 30 divisors (see below), whose sum is σ = 4429780650. Its totient is φ = 842334528.

The previous prime is 1965447973. The next prime is 1965448073. The reversal of 1965448016 is 6108445691.

It can be written as a sum of positive squares in only one way, i.e., 1962135616 + 3312400 = 44296^2 + 1820^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1252691 + ... + 1254258.

It is an arithmetic number, because the mean of its divisors is an integer number (147659355).

Almost surely, 2^1965448016 is an apocalyptic number.

1965448016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1965448016 is an abundant number, since it is smaller than the sum of its proper divisors (2464332634).

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

1965448016 is a wasteful number, since it uses less digits than its factorization.

1965448016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506971 (or 2506958 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 1965448016 is about 44333.3736140168. The cubic root of 1965448016 is about 1252.6234004444.

The spelling of 1965448016 in words is "one billion, nine hundred sixty-five million, four hundred forty-eight thousand, sixteen".