1518388162420 has 144 divisors (see below), whose sum is σ = 3344828886000. Its totient is φ = 578799820800.

The previous prime is 1518388162399. The next prime is 1518388162453. The reversal of 1518388162420 is 242618838151.

It can be written as a sum of positive squares in 24 ways, for example, as 1130891872356 + 387496290064 = 1063434^2 + 622492^2 .

It is a super-2 number, since 2×1518388162420² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305569696 + ... + 305574664.

It is an arithmetic number, because the mean of its divisors is an integer number (23227978375).

Almost surely, 2^{1518388162420} is an apocalyptic number.

1518388162420 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 1518388162420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672414443000).

1518388162420 is an abundant number, since it is smaller than the sum of its proper divisors (1826440723580).

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

1518388162420 is a wasteful number, since it uses less digits than its factorization.

1518388162420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 1518388162420 in words is "one trillion, five hundred eighteen billion, three hundred eighty-eight million, one hundred sixty-two thousand, four hundred twenty".