362145156016 has 80 divisors (see below), whose sum is σ = 824519995200. Its totient is φ = 150879366144.

The previous prime is 362145156007. The next prime is 362145156053. The reversal of 362145156016 is 610651541263.

It is a happy number.

It is a super-2 number, since 2×362145156016² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 362145156016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367170 + ... + 926878.

It is an arithmetic number, because the mean of its divisors is an integer number (10306499940).

Almost surely, 2^362145156016 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 362145156016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412259997600).

362145156016 is an abundant number, since it is smaller than the sum of its proper divisors (462374839184).

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

362145156016 is a wasteful number, since it uses less digits than its factorization.

362145156016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559886 (or 559880 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

Adding to 362145156016 its reverse (610651541263), we get a palindrome (972796697279).

The spelling of 362145156016 in words is "three hundred sixty-two billion, one hundred forty-five million, one hundred fifty-six thousand, sixteen".