364772223123000 has 1024 divisors, whose sum is σ = 1433321608642560. Its totient is φ = 75029068800000.

The previous prime is 364772223122969. The next prime is 364772223123001. The reversal of 364772223123000 is 321322277463.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364772223123001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21169524385 + ... + 21169541615.

It is an arithmetic number, because the mean of its divisors is an integer number (1399728133440).

Almost surely, 2^{364772223123000} is an apocalyptic number.

364772223123000 is a gapful number since it is divisible by the number (30) 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 364772223123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716660804321280).

364772223123000 is an abundant number, since it is smaller than the sum of its proper divisors (1068549385519560).

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

364772223123000 is a wasteful number, since it uses less digits than its factorization.

364772223123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18197 (or 18183 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 364772223123000 in words is "three hundred sixty-four trillion, seven hundred seventy-two billion, two hundred twenty-three million, one hundred twenty-three thousand".