1966952448 has 156 divisors (see below), whose sum is σ = 5730915060. Its totient is φ = 649986048.

The previous prime is 1966952441. The next prime is 1966952453. The reversal of 1966952448 is 8442596691.

1966952448 is a `hidden beast` number, since 1 + 96 + 69 + 52 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1181159424 + 785793024 = 34368^2 + 28032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1966952394 and 1966952403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966952441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8441740 + ... + 8441972.

It is an arithmetic number, because the mean of its divisors is an integer number (36736635).

Almost surely, 2^1966952448 is an apocalyptic number.

1966952448 is a gapful number since it is divisible by the number (18) 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 1966952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865457530).

1966952448 is an abundant number, since it is smaller than the sum of its proper divisors (3763962612).

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

1966952448 is a wasteful number, since it uses less digits than its factorization.

1966952448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 467 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 1966952448 is about 44350.3376311838. The cubic root of 1966952448 is about 1252.9429215063.

The spelling of 1966952448 in words is "one billion, nine hundred sixty-six million, nine hundred fifty-two thousand, four hundred forty-eight".