18973755728928 has 1152 divisors, whose sum is σ = 76663180339200. Its totient is φ = 4549060776960.

The previous prime is 18973755728899. The next prime is 18973755728951. The reversal of 18973755728928 is 82982755737981.

18973755728928 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 37 + 5 + 572 + 8 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×18973755728928² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 381380151 + ... + 381429897.

It is an arithmetic number, because the mean of its divisors is an integer number (66547899600).

Almost surely, 2^{18973755728928} is an apocalyptic number.

18973755728928 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 18973755728928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38331590169600).

18973755728928 is an abundant number, since it is smaller than the sum of its proper divisors (57689424610272).

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

18973755728928 is a wasteful number, since it uses less digits than its factorization.

18973755728928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49817 (or 49783 counting only the distinct ones).

The product of its digits is 4267468800, while the sum is 81.

The spelling of 18973755728928 in words is "eighteen trillion, nine hundred seventy-three billion, seven hundred fifty-five million, seven hundred twenty-eight thousand, nine hundred twenty-eight".