363947423000832 has 576 divisors, whose sum is σ = 1182434688288000. Its totient is φ = 109504588677120.

The previous prime is 363947423000807. The next prime is 363947423000899. The reversal of 363947423000832 is 238000324749363.

363947423000832 is a `hidden beast` number, since 3 + 63 + 9 + 474 + 2 + 30 + 0 + 0 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41655875568 + ... + 41655884304.

It is an arithmetic number, because the mean of its divisors is an integer number (2052838000500).

Almost surely, 2^{363947423000832} is an apocalyptic number.

363947423000832 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 363947423000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591217344144000).

363947423000832 is an abundant number, since it is smaller than the sum of its proper divisors (818487265287168).

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

363947423000832 is a wasteful number, since it uses less digits than its factorization.

363947423000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12599 (or 12579 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 363947423000832 in words is "three hundred sixty-three trillion, nine hundred forty-seven billion, four hundred twenty-three million, eight hundred thirty-two", and thus it is an aban number.