363249441360 has 120 divisors (see below), whose sum is σ = 1313752180104. Its totient is φ = 89415244800.

The previous prime is 363249441343. The next prime is 363249441389. The reversal of 363249441360 is 63144942363.

363249441360 is a `hidden beast` number, since 3 + 6 + 3 + 249 + 4 + 41 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13925888064 + 349323553296 = 118008^2 + 591036^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19394991 + ... + 19413710.

Almost surely, 2^363249441360 is an apocalyptic number.

363249441360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

363249441360 is an abundant number, since it is smaller than the sum of its proper divisors (950502738744).

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

363249441360 is a wasteful number, since it uses less digits than its factorization.

363249441360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38808733 (or 38808724 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

It can be divided in two parts, 363249 and 441360, that added together give a square (804609 = 897²).

The spelling of 363249441360 in words is "three hundred sixty-three billion, two hundred forty-nine million, four hundred forty-one thousand, three hundred sixty".