1618418313216 has 384 divisors, whose sum is σ = 5095684339200. Its totient is φ = 505785876480.

The previous prime is 1618418313209. The next prime is 1618418313229. The reversal of 1618418313216 is 6123138148161.

1618418313216 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 418 + 3 + 13 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254745496 + ... + 254751848.

It is an arithmetic number, because the mean of its divisors is an integer number (13270011300).

Almost surely, 2^{1618418313216} is an apocalyptic number.

1618418313216 is a gapful number since it is divisible by the number (16) 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 1618418313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547842169600).

1618418313216 is an abundant number, since it is smaller than the sum of its proper divisors (3477266025984).

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

1618418313216 is a wasteful number, since it uses less digits than its factorization.

1618418313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 6646 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 1618418313216 in words is "one trillion, six hundred eighteen billion, four hundred eighteen million, three hundred thirteen thousand, two hundred sixteen".