8618742144 has 320 divisors, whose sum is σ = 27471810960. Its totient is φ = 2672787456.

The previous prime is 8618742113. The next prime is 8618742157. The reversal of 8618742144 is 4412478168.

8618742144 is a `hidden beast` number, since 8 + 6 + 187 + 421 + 44 = 666.

It is a super-2 number, since 2×8618742144² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8618742144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18859164 + ... + 18859620.

Almost surely, 2^8618742144 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 8618742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13735905480).

8618742144 is an abundant number, since it is smaller than the sum of its proper divisors (18853068816).

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

8618742144 is a wasteful number, since it uses less digits than its factorization.

8618742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 586 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 8618742144 is about 92837.1808275111. The cubic root of 8618742144 is about 2050.2868640006.

The spelling of 8618742144 in words is "eight billion, six hundred eighteen million, seven hundred forty-two thousand, one hundred forty-four".