181630056678400 has 1056 divisors, whose sum is σ = 520821721276416. Its totient is φ = 62182686720000.

The previous prime is 181630056678353. The next prime is 181630056678407. The reversal of 181630056678400 is 4876650036181.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (181630056678407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244454988429 + ... + 244454989171.

Almost surely, 2^{181630056678400} is an apocalyptic number.

181630056678400 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 181630056678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260410860638208).

181630056678400 is an abundant number, since it is smaller than the sum of its proper divisors (339191664598016).

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

181630056678400 is a wasteful number, since it uses less digits than its factorization.

181630056678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 181630056678400 in words is "one hundred eighty-one trillion, six hundred thirty billion, fifty-six million, six hundred seventy-eight thousand, four hundred".