368220162024 has 192 divisors, whose sum is σ = 1172771308800. Its totient is φ = 102896524800.

The previous prime is 368220162007. The next prime is 368220162041. The reversal of 368220162024 is 420261022863.

368220162024 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 2 + 0 + 1 + 620 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (368220162007) and next prime (368220162041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 368220162024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10680334 + ... + 10714754.

It is an arithmetic number, because the mean of its divisors is an integer number (6108183900).

Almost surely, 2^368220162024 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 368220162024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586385654400).

368220162024 is an abundant number, since it is smaller than the sum of its proper divisors (804551146776).

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

368220162024 is a wasteful number, since it uses less digits than its factorization.

368220162024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35496 (or 35489 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 368220162024 its reverse (420261022863), we get a palindrome (788481184887).

It can be divided in two parts, 3682201 and 62024, that added together give a square (3744225 = 1935²).

The spelling of 368220162024 in words is "three hundred sixty-eight billion, two hundred twenty million, one hundred sixty-two thousand, twenty-four".