618345223372800 has 2160 divisors, whose sum is σ = 2850658890153984. Its totient is φ = 124340797440000.

The previous prime is 618345223372783. The next prime is 618345223372853. The reversal of 618345223372800 is 8273322543816.

618345223372800 is a `hidden beast` number, since 6 + 1 + 8 + 3 + 4 + 5 + 22 + 337 + 280 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8799401665 + ... + 8799471935.

Almost surely, 2^{618345223372800} is an apocalyptic number.

618345223372800 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 618345223372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425329445076992).

618345223372800 is an abundant number, since it is smaller than the sum of its proper divisors (2232313666781184).

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

618345223372800 is a wasteful number, since it uses less digits than its factorization.

618345223372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70364 (or 70330 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 618345223372800 in words is "six hundred eighteen trillion, three hundred forty-five billion, two hundred twenty-three million, three hundred seventy-two thousand, eight hundred".