364338196992 has 840 divisors, whose sum is σ = 1385830421712. Its totient is φ = 94581043200.

The previous prime is 364338196949. The next prime is 364338196993. The reversal of 364338196992 is 299691833463.

364338196992 is a `hidden beast` number, since 3 + 6 + 433 + 8 + 196 + 9 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (364338196993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 201179767 + ... + 201181577.

Almost surely, 2^364338196992 is an apocalyptic number.

364338196992 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 364338196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692915210856).

364338196992 is an abundant number, since it is smaller than the sum of its proper divisors (1021492224720).

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

364338196992 is an equidigital number, since it uses as much as digits as its factorization.

364338196992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1834 counting only the distinct ones).

The product of its digits is 45349632, while the sum is 63.

The spelling of 364338196992 in words is "three hundred sixty-four billion, three hundred thirty-eight million, one hundred ninety-six thousand, nine hundred ninety-two".