180281041511364 has 192 divisors, whose sum is σ = 491672107745280. Its totient is φ = 57014965687680.

The previous prime is 180281041511303. The next prime is 180281041511419. The reversal of 180281041511364 is 463115140182081.

It is a happy number.

180281041511364 is a `hidden beast` number, since 1 + 8 + 0 + 28 + 10 + 41 + 511 + 3 + 64 = 666.

It is a super-2 number, since 2×180281041511364² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1394619397 + ... + 1394748659.

It is an arithmetic number, because the mean of its divisors is an integer number (2560792227840).

Almost surely, 2^{180281041511364} 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 180281041511364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245836053872640).

180281041511364 is an abundant number, since it is smaller than the sum of its proper divisors (311391066233916).

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

180281041511364 is a wasteful number, since it uses less digits than its factorization.

180281041511364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133847 (or 133839 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 180281041511364 in words is "one hundred eighty trillion, two hundred eighty-one billion, forty-one million, five hundred eleven thousand, three hundred sixty-four".