363414159360 has 912 divisors, whose sum is σ = 1502296164096. Its totient is φ = 82556485632.

The previous prime is 363414159341. The next prime is 363414159419. The reversal of 363414159360 is 63951414363.

It is a happy number.

363414159360 is a `hidden beast` number, since 3 + 634 + 1 + 4 + 1 + 5 + 9 + 3 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2229534639 + ... + 2229534801.

Almost surely, 2^363414159360 is an apocalyptic number.

363414159360 is a gapful number since it is divisible by the number (30) 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 363414159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751148082048).

363414159360 is an abundant number, since it is smaller than the sum of its proper divisors (1138882004736).

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

363414159360 is an frugal number, since it uses more digits than its factorization.

363414159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 363414159360 in words is "three hundred sixty-three billion, four hundred fourteen million, one hundred fifty-nine thousand, three hundred sixty".