18212734902240 has 480 divisors, whose sum is σ = 65786143610880. Its totient is φ = 4743054683136.

The previous prime is 18212734902227. The next prime is 18212734902259. The reversal of 18212734902240 is 4220943721281.

18212734902240 is a `hidden beast` number, since 1 + 82 + 1 + 2 + 7 + 349 + 0 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 281990271 + ... + 282054849.

It is an arithmetic number, because the mean of its divisors is an integer number (137054465856).

Almost surely, 2^{18212734902240} is an apocalyptic number.

18212734902240 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 18212734902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32893071805440).

18212734902240 is an abundant number, since it is smaller than the sum of its proper divisors (47573408708640).

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

18212734902240 is a wasteful number, since it uses less digits than its factorization.

18212734902240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65116 (or 65099 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 18212734902240 in words is "eighteen trillion, two hundred twelve billion, seven hundred thirty-four million, nine hundred two thousand, two hundred forty".