618372144 has 300 divisors, whose sum is σ = 2063590144. Its totient is φ = 177666048.

The previous prime is 618372113. The next prime is 618372173. The reversal of 618372144 is 441273816.

618372144 is a `hidden beast` number, since 618 + 37 + 2 + 1 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 618372099 and 618372108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4869009 + ... + 4869135.

Almost surely, 2^618372144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 618372144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031795072).

618372144 is an abundant number, since it is smaller than the sum of its proper divisors (1445218000).

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

618372144 is a wasteful number, since it uses less digits than its factorization.

618372144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 162 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 618372144 is about 24867.0895763859. The cubic root of 618372144 is about 851.9549668719.

The spelling of 618372144 in words is "six hundred eighteen million, three hundred seventy-two thousand, one hundred forty-four".