364341441152 has 128 divisors (see below), whose sum is σ = 816307632000. Its totient is φ = 160717860864.

The previous prime is 364341441077. The next prime is 364341441157. The reversal of 364341441152 is 251144143463.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (364341441157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60428474 + ... + 60434502.

It is an arithmetic number, because the mean of its divisors is an integer number (6377403375).

Almost surely, 2^364341441152 is an apocalyptic number.

364341441152 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 364341441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408153816000).

364341441152 is an abundant number, since it is smaller than the sum of its proper divisors (451966190848).

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

364341441152 is a wasteful number, since it uses less digits than its factorization.

364341441152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 7646 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The spelling of 364341441152 in words is "three hundred sixty-four billion, three hundred forty-one million, four hundred forty-one thousand, one hundred fifty-two".