1966228140825 has 96 divisors (see below), whose sum is σ = 3918278380800. Its totient is φ = 960923036160.

The previous prime is 1966228140797. The next prime is 1966228140883. The reversal of 1966228140825 is 5280418226691.

1966228140825 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 228 + 1 + 408 + 2 + 5 = 666.

It is not a de Polignac number, because 1966228140825 - 2¹⁵ = 1966228108057 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384396 + ... + 2019954.

It is an arithmetic number, because the mean of its divisors is an integer number (40815399800).

Almost surely, 2^{1966228140825} is an apocalyptic number.

1966228140825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1966228140825 is a deficient number, since it is larger than the sum of its proper divisors (1952050239975).

1966228140825 is a wasteful number, since it uses less digits than its factorization.

1966228140825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635728 (or 1635717 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1966228140825 in words is "one trillion, nine hundred sixty-six billion, two hundred twenty-eight million, one hundred forty thousand, eight hundred twenty-five".