362225233788096 has 448 divisors, whose sum is σ = 1105542079488000. Its totient is φ = 102529267236864.

The previous prime is 362225233788091. The next prime is 362225233788107. The reversal of 362225233788096 is 690887332522263.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (362225233788091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178524017610 + ... + 178524019638.

It is an arithmetic number, because the mean of its divisors is an integer number (2467727856000).

Almost surely, 2^{362225233788096} 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 362225233788096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552771039744000).

362225233788096 is an abundant number, since it is smaller than the sum of its proper divisors (743316845699904).

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

362225233788096 is a wasteful number, since it uses less digits than its factorization.

362225233788096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 66.

The spelling of 362225233788096 in words is "three hundred sixty-two trillion, two hundred twenty-five billion, two hundred thirty-three million, seven hundred eighty-eight thousand, ninety-six".