83666145024 has 864 divisors, whose sum is σ = 321524797440. Its totient is φ = 20984832000.

The previous prime is 83666144987. The next prime is 83666145047. The reversal of 83666145024 is 42054166638.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×83666145024³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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, 181488154 + ... + 181488614.

Almost surely, 2^83666145024 is an apocalyptic number.

83666145024 is a gapful number since it is divisible by the number (84) 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 83666145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160762398720).

83666145024 is an abundant number, since it is smaller than the sum of its proper divisors (237858652416).

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

83666145024 is a wasteful number, since it uses less digits than its factorization.

83666145024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 83666145024 in words is "eighty-three billion, six hundred sixty-six million, one hundred forty-five thousand, twenty-four".