1413598618368 has 576 divisors, whose sum is σ = 4561763552640. Its totient is φ = 429981696000.

The previous prime is 1413598618349. The next prime is 1413598618373. The reversal of 1413598618368 is 8638168953141.

1413598618368 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 5 + 9 + 8 + 618 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1413598618368² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2352077268 + ... + 2352077868.

It is an arithmetic number, because the mean of its divisors is an integer number (7919728390).

Almost surely, 2^{1413598618368} is an apocalyptic number.

1413598618368 is a gapful number since it is divisible by the number (18) 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 1413598618368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280881776320).

1413598618368 is an abundant number, since it is smaller than the sum of its proper divisors (3148164934272).

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

1413598618368 is a wasteful number, since it uses less digits than its factorization.

1413598618368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1201 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 1413598618368 in words is "one trillion, four hundred thirteen billion, five hundred ninety-eight million, six hundred eighteen thousand, three hundred sixty-eight".