66048965189856 has 144 divisors (see below), whose sum is σ = 206128862529408. Its totient is φ = 19894988448000.

The previous prime is 66048965189849. The next prime is 66048965189863. The reversal of 66048965189856 is 65898156984066.

It is a happy number.

66048965189856 is a `hidden beast` number, since 6 + 6 + 0 + 4 + 8 + 9 + 6 + 518 + 98 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (66048965189849) and next prime (66048965189863).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61892470 + ... + 62950581.

It is an arithmetic number, because the mean of its divisors is an integer number (1431450434232).

Almost surely, 2^{66048965189856} is an apocalyptic number.

66048965189856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

66048965189856 is an abundant number, since it is smaller than the sum of its proper divisors (140079897339552).

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

66048965189856 is a wasteful number, since it uses less digits than its factorization.

66048965189856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124843245 (or 124843234 counting only the distinct ones).

The product of its (nonzero) digits is 5374771200, while the sum is 81.

The spelling of 66048965189856 in words is "sixty-six trillion, forty-eight billion, nine hundred sixty-five million, one hundred eighty-nine thousand, eight hundred fifty-six".