18071808048000 has 2048 divisors, whose sum is σ = 80646598656000. Its totient is φ = 3885511680000.

The previous prime is 18071808047999. The next prime is 18071808048037. The reversal of 18071808048000 is 84080817081.

18071808048000 is a `hidden beast` number, since 1 + 80 + 7 + 18 + 0 + 80 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×18071808048000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8675854959 + ... + 8675857041.

It is an arithmetic number, because the mean of its divisors is an integer number (39378222000).

Almost surely, 2^{18071808048000} is an apocalyptic number.

18071808048000 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 18071808048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40323299328000).

18071808048000 is an abundant number, since it is smaller than the sum of its proper divisors (62574790608000).

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

18071808048000 is a wasteful number, since it uses less digits than its factorization.

18071808048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 18071808048000 in words is "eighteen trillion, seventy-one billion, eight hundred eight million, forty-eight thousand".