18167106474000 has 960 divisors, whose sum is σ = 73699140453120. Its totient is φ = 4122040320000.

The previous prime is 18167106473981. The next prime is 18167106474001. The reversal of 18167106474000 is 47460176181.

18167106474000 is a `hidden beast` number, since 1 + 8 + 167 + 10 + 6 + 474 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18167106474001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 609231091 + ... + 609260909.

It is an arithmetic number, because the mean of its divisors is an integer number (76769937972).

Almost surely, 2^{18167106474000} is an apocalyptic number.

18167106474000 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 18167106474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36849570226560).

18167106474000 is an abundant number, since it is smaller than the sum of its proper divisors (55532033979120).

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

18167106474000 is a wasteful number, since it uses less digits than its factorization.

18167106474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30057 (or 30038 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 18167106474000 in words is "eighteen trillion, one hundred sixty-seven billion, one hundred six million, four hundred seventy-four thousand".