1966918584096 has 96 divisors (see below), whose sum is σ = 5738480395200. Its totient is φ = 655452725760.

The previous prime is 1966918584091. The next prime is 1966918584097. The reversal of 1966918584096 is 6904858196691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1966918584091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2726511 + ... + 3371601.

It is an arithmetic number, because the mean of its divisors is an integer number (59775837450).

Almost surely, 2^{1966918584096} is an apocalyptic number.

1966918584096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1966918584096 is an abundant number, since it is smaller than the sum of its proper divisors (3771561811104).

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

1966918584096 is a wasteful number, since it uses less digits than its factorization.

1966918584096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648639 (or 648625 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 1966918584096 in words is "one trillion, nine hundred sixty-six billion, nine hundred eighteen million, five hundred eighty-four thousand, ninety-six".