368453587822848 has 2592 divisors, whose sum is σ = 1284682546667520. Its totient is φ = 104458678272000.

The previous prime is 368453587822799. The next prime is 368453587822871. The reversal of 368453587822848 is 848228785354863.

368453587822848 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 5 + 3 + 587 + 8 + 2 + 28 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×368453587822848² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2812622807743 + ... + 2812622807873.

It is an arithmetic number, because the mean of its divisors is an integer number (495633698560).

Almost surely, 2^{368453587822848} 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 368453587822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642341273333760).

368453587822848 is an abundant number, since it is smaller than the sum of its proper divisors (916228958844672).

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

368453587822848 is an equidigital number, since it uses as much as digits as its factorization.

368453587822848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 314 counting only the distinct ones).

The product of its digits is 19818086400, while the sum is 81.

The spelling of 368453587822848 in words is "three hundred sixty-eight trillion, four hundred fifty-three billion, five hundred eighty-seven million, eight hundred twenty-two thousand, eight hundred forty-eight".