1966521312 has 216 divisors, whose sum is σ = 6540475032. Its totient is φ = 558835200.

The previous prime is 1966521311. The next prime is 1966521329. The reversal of 1966521312 is 2131256691.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966521311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4670862 + ... + 4671282.

It is an arithmetic number, because the mean of its divisors is an integer number (30279977).

Almost surely, 2^1966521312 is an apocalyptic number.

1966521312 is a gapful number since it is divisible by the number (12) 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 1966521312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270237516).

1966521312 is an abundant number, since it is smaller than the sum of its proper divisors (4573953720).

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

1966521312 is a wasteful number, since it uses less digits than its factorization.

1966521312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 764 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 1966521312 is about 44345.4767930169. The cubic root of 1966521312 is about 1252.8513706958.

The spelling of 1966521312 in words is "one billion, nine hundred sixty-six million, five hundred twenty-one thousand, three hundred twelve".