362123994432 has 112 divisors (see below), whose sum is σ = 968448152000. Its totient is φ = 119407951872.

The previous prime is 362123994391. The next prime is 362123994437. The reversal of 362123994432 is 234499321263.

It is a super-3 number, since 3×362123994432³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (362123994437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65162598 + ... + 65168154.

It is an arithmetic number, because the mean of its divisors is an integer number (8646858500).

Almost surely, 2^362123994432 is an apocalyptic number.

362123994432 is a gapful number since it is divisible by the number (32) 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 362123994432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484224076000).

362123994432 is an abundant number, since it is smaller than the sum of its proper divisors (606324157568).

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

362123994432 is a wasteful number, since it uses less digits than its factorization.

362123994432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9168 (or 9158 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 48.

The spelling of 362123994432 in words is "three hundred sixty-two billion, one hundred twenty-three million, nine hundred ninety-four thousand, four hundred thirty-two".