1966985748 has 384 divisors, whose sum is σ = 6789565440. Its totient is φ = 477757440.

The previous prime is 1966985729. The next prime is 1966985759. The reversal of 1966985748 is 8475896691.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10191540 + ... + 10191732.

It is an arithmetic number, because the mean of its divisors is an integer number (17681160).

Almost surely, 2^1966985748 is an apocalyptic number.

1966985748 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 1966985748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394782720).

1966985748 is an abundant number, since it is smaller than the sum of its proper divisors (4822579692).

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

1966985748 is a wasteful number, since it uses less digits than its factorization.

1966985748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 1966985748 is about 44350.7130495103. The cubic root of 1966985748 is about 1252.9499921337.

The spelling of 1966985748 in words is "one billion, nine hundred sixty-six million, nine hundred eighty-five thousand, seven hundred forty-eight".