618138054000 has 1080 divisors, whose sum is σ = 2396115494448. Its totient is φ = 154188748800.

The previous prime is 618138053999. The next prime is 618138054043. The reversal of 618138054000 is 450831816.

618138054000 is a `hidden beast` number, since 6 + 1 + 81 + 38 + 0 + 540 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 215 ways as a sum of consecutive naturals, for example, 3792257919 + ... + 3792258081.

Almost surely, 2^618138054000 is an apocalyptic number.

618138054000 is a gapful number since it is divisible by the number (60) 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 618138054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198057747224).

618138054000 is an abundant number, since it is smaller than the sum of its proper divisors (1777977440448).

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

618138054000 is an equidigital number, since it uses as much as digits as its factorization.

618138054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 618138054000 its reverse (450831816), we get a palindrome (618588885816).

The spelling of 618138054000 in words is "six hundred eighteen billion, one hundred thirty-eight million, fifty-four thousand".