352492723968 has 432 divisors, whose sum is σ = 1190163706368. Its totient is φ = 90650419200.

The previous prime is 352492723939. The next prime is 352492723969. The reversal of 352492723968 is 869327294253.

It is a super-2 number, since 2×352492723968² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352492723969) 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 47 ways as a sum of consecutive naturals, for example, 66998458 + ... + 67003718.

Almost surely, 2^352492723968 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 352492723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595081853184).

352492723968 is an abundant number, since it is smaller than the sum of its proper divisors (837670982400).

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

352492723968 is a wasteful number, since it uses less digits than its factorization.

352492723968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5387 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 60.

The spelling of 352492723968 in words is "three hundred fifty-two billion, four hundred ninety-two million, seven hundred twenty-three thousand, nine hundred sixty-eight".