181601813045136 has 640 divisors, whose sum is σ = 558317417398272. Its totient is φ = 50324281344000.

The previous prime is 181601813045027. The next prime is 181601813045137. The reversal of 181601813045136 is 631540318106181.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (181601813045137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5537130690 + ... + 5537163486.

Almost surely, 2^{181601813045136} is an apocalyptic number.

181601813045136 is a gapful number since it is divisible by the number (16) 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 181601813045136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279158708699136).

181601813045136 is an abundant number, since it is smaller than the sum of its proper divisors (376715604353136).

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

181601813045136 is a wasteful number, since it uses less digits than its factorization.

181601813045136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33151 (or 33145 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 181601813045136 in words is "one hundred eighty-one trillion, six hundred one billion, eight hundred thirteen million, forty-five thousand, one hundred thirty-six".