18641577437028 has 384 divisors, whose sum is σ = 59795766051840. Its totient is φ = 4890658590720.

The previous prime is 18641577437023. The next prime is 18641577437099. The reversal of 18641577437028 is 82073477514681.

It is a happy number.

18641577437028 is a `hidden beast` number, since 1 + 8 + 6 + 4 + 1 + 577 + 4 + 37 + 0 + 28 = 666.

It is a super-2 number, since 2×18641577437028² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (18641577437023) 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, 2832632698 + ... + 2832639278.

It is an arithmetic number, because the mean of its divisors is an integer number (155718140760).

Almost surely, 2^{18641577437028} is an apocalyptic number.

18641577437028 is a gapful number since it is divisible by the number (18) 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 18641577437028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29897883025920).

18641577437028 is an abundant number, since it is smaller than the sum of its proper divisors (41154188614812).

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

18641577437028 is a wasteful number, since it uses less digits than its factorization.

18641577437028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8084 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 18641577437028 in words is "eighteen trillion, six hundred forty-one billion, five hundred seventy-seven million, four hundred thirty-seven thousand, twenty-eight".