364542052172544 has 576 divisors, whose sum is σ = 1154006341877760. Its totient is φ = 114725834956800.

The previous prime is 364542052172489. The next prime is 364542052172657. The reversal of 364542052172544 is 445271250245463.

364542052172544 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 4 + 2 + 0 + 5 + 21 + 72 + 544 = 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, 711341169 + ... + 711853455.

Almost surely, 2^{364542052172544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364542052172544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577003170938880).

364542052172544 is an abundant number, since it is smaller than the sum of its proper divisors (789464289705216).

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

364542052172544 is an frugal number, since it uses more digits than its factorization.

364542052172544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512396 (or 512364 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 54.

The spelling of 364542052172544 in words is "three hundred sixty-four trillion, five hundred forty-two billion, fifty-two million, one hundred seventy-two thousand, five hundred forty-four".