181268640000 has 1080 divisors, whose sum is σ = 763700537600. Its totient is φ = 41319936000.

The previous prime is 181268639999. The next prime is 181268640023. The reversal of 181268640000 is 46862181.

181268640000 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 6 + 8 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 493919817 + ... + 493920183.

Almost surely, 2^181268640000 is an apocalyptic number.

181268640000 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 181268640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381850268800).

181268640000 is an abundant number, since it is smaller than the sum of its proper divisors (582431897600).

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

181268640000 is an frugal number, since it uses more digits than its factorization.

181268640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 181268640000 in words is "one hundred eighty-one billion, two hundred sixty-eight million, six hundred forty thousand".