363823016947712 has 208 divisors, whose sum is σ = 861112804349952. Its totient is φ = 150402713518080.

The previous prime is 363823016947703. The next prime is 363823016947721. The reversal of 363823016947712 is 217749610328363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (363823016947703) and next prime (363823016947721).

It is a Smith number, since the sum of its digits (62) 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 (62).

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, 272204768 + ... + 273538080.

Almost surely, 2^{363823016947712} is an apocalyptic number.

363823016947712 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 363823016947712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430556402174976).

363823016947712 is an abundant number, since it is smaller than the sum of its proper divisors (497289787402240).

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

363823016947712 is a wasteful number, since it uses less digits than its factorization.

363823016947712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333682 (or 1333660 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 62.

The spelling of 363823016947712 in words is "three hundred sixty-three trillion, eight hundred twenty-three billion, sixteen million, nine hundred forty-seven thousand, seven hundred twelve".