364645577412 has 288 divisors, whose sum is σ = 1020997461120. Its totient is φ = 113575633920.

The previous prime is 364645577389. The next prime is 364645577419. The reversal of 364645577412 is 214775546463.

364645577412 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 4 + 557 + 74 + 12 = 666.

It is a super-2 number, since 2×364645577412² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (364645577419) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 220062888 + ... + 220064544.

Almost surely, 2^364645577412 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 364645577412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510498730560).

364645577412 is an abundant number, since it is smaller than the sum of its proper divisors (656351883708).

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

364645577412 is a wasteful number, since it uses less digits than its factorization.

364645577412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1939 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 364645577412 in words is "three hundred sixty-four billion, six hundred forty-five million, five hundred seventy-seven thousand, four hundred twelve".