618081214464 has 448 divisors, whose sum is σ = 2135818944000. Its totient is φ = 176572956672.

The previous prime is 618081214441. The next prime is 618081214469. The reversal of 618081214464 is 464412180816.

618081214464 is a `hidden beast` number, since 6 + 1 + 80 + 8 + 121 + 446 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (618081214469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75862039 + ... + 75870185.

It is an arithmetic number, because the mean of its divisors is an integer number (4767453000).

Almost surely, 2^618081214464 is an apocalyptic number.

618081214464 is a gapful number since it is divisible by the number (64) 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 618081214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067909472000).

618081214464 is an abundant number, since it is smaller than the sum of its proper divisors (1517737729536).

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

618081214464 is an frugal number, since it uses more digits than its factorization.

618081214464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8203 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 618081214464 in words is "six hundred eighteen billion, eighty-one million, two hundred fourteen thousand, four hundred sixty-four".