181494656640 has 768 divisors, whose sum is σ = 718629004800. Its totient is φ = 43247001600.

The previous prime is 181494656611. The next prime is 181494656689. The reversal of 181494656640 is 46656494181.

181494656640 is a `hidden beast` number, since 1 + 81 + 4 + 9 + 465 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 127542969 + ... + 127544391.

It is an arithmetic number, because the mean of its divisors is an integer number (935714850).

Almost surely, 2^181494656640 is an apocalyptic number.

181494656640 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 181494656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359314502400).

181494656640 is an abundant number, since it is smaller than the sum of its proper divisors (537134348160).

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

181494656640 is a wasteful number, since it uses less digits than its factorization.

181494656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 181494656640 in words is "one hundred eighty-one billion, four hundred ninety-four million, six hundred fifty-six thousand, six hundred forty".