18218045769000 has 1024 divisors, whose sum is σ = 72622007377920. Its totient is φ = 3692021760000.

The previous prime is 18218045768999. The next prime is 18218045769029. The reversal of 18218045769000 is 96754081281.

It is a super-2 number, since 2×18218045769000² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 11730872224 + ... + 11730873776.

It is an arithmetic number, because the mean of its divisors is an integer number (70919929080).

Almost surely, 2^{18218045769000} is an apocalyptic number.

18218045769000 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 18218045769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36311003688960).

18218045769000 is an abundant number, since it is smaller than the sum of its proper divisors (54403961608920).

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

18218045769000 is a wasteful number, since it uses less digits than its factorization.

18218045769000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 18218045769000 in words is "eighteen trillion, two hundred eighteen billion, forty-five million, seven hundred sixty-nine thousand".