363314922480 has 160 divisors (see below), whose sum is σ = 1251705600000. Its totient is φ = 96861719808.

The previous prime is 363314922469. The next prime is 363314922499. The reversal of 363314922480 is 84229413363.

363314922480 is a `hidden beast` number, since 3 + 6 + 3 + 3 + 149 + 22 + 480 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10781017 + ... + 10814663.

It is an arithmetic number, because the mean of its divisors is an integer number (7823160000).

Almost surely, 2^363314922480 is an apocalyptic number.

363314922480 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 363314922480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625852800000).

363314922480 is an abundant number, since it is smaller than the sum of its proper divisors (888390677520).

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

363314922480 is a wasteful number, since it uses less digits than its factorization.

363314922480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38668 (or 38656 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 363314922480 in words is "three hundred sixty-three billion, three hundred fourteen million, nine hundred twenty-two thousand, four hundred eighty".