363545792064 has 1344 divisors, whose sum is σ = 1449858009600. Its totient is φ = 84276412416.

The previous prime is 363545792059. The next prime is 363545792089. The reversal of 363545792064 is 460297545363.

363545792064 is a `hidden beast` number, since 3 + 6 + 3 + 5 + 4 + 579 + 2 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×363545792064² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 363545792064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1845410014 + ... + 1845410210.

It is an arithmetic number, because the mean of its divisors is an integer number (1078763400).

Almost surely, 2^363545792064 is an apocalyptic number.

363545792064 is a gapful number since it is divisible by the number (34) 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 363545792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724929004800).

363545792064 is an abundant number, since it is smaller than the sum of its proper divisors (1086312217536).

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

363545792064 is a wasteful number, since it uses less digits than its factorization.

363545792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 363545792064 in words is "three hundred sixty-three billion, five hundred forty-five million, seven hundred ninety-two thousand, sixty-four".