166853486989440 has 384 divisors, whose sum is σ = 581438010769200. Its totient is φ = 44087364550656.

The previous prime is 166853486989369. The next prime is 166853486989487. The reversal of 166853486989440 is 44989684358661.

166853486989440 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 5 + 3 + 4 + 86 + 98 + 9 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 106203907358784 + 60649579630656 = 10305528^2 + 7787784^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×166853486989440² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166853486989440.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2289108516 + ... + 2289181404.

Almost surely, 2^{166853486989440} is an apocalyptic number.

166853486989440 is a gapful number since it is divisible by the number (10) 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 166853486989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290719005384600).

166853486989440 is an abundant number, since it is smaller than the sum of its proper divisors (414584523779760).

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

166853486989440 is a wasteful number, since it uses less digits than its factorization.

166853486989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76544 (or 76529 counting only the distinct ones).

The product of its (nonzero) digits is 8599633920, while the sum is 81.

The spelling of 166853486989440 in words is "one hundred sixty-six trillion, eight hundred fifty-three billion, four hundred eighty-six million, nine hundred eighty-nine thousand, four hundred forty".