4531676173020 has 288 divisors, whose sum is σ = 14305090695168. Its totient is φ = 1204226445312.

The previous prime is 4531676172983. The next prime is 4531676173039. The reversal of 4531676173020 is 203716761354.

4531676173020 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 6 + 7 + 617 + 3 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2144663484 + ... + 2144665596.

Almost surely, 2^{4531676173020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4531676173020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7152545347584).

4531676173020 is an abundant number, since it is smaller than the sum of its proper divisors (9773414522148).

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

4531676173020 is a wasteful number, since it uses less digits than its factorization.

4531676173020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 4531676173020 in words is "four trillion, five hundred thirty-one billion, six hundred seventy-six million, one hundred seventy-three thousand, twenty".