363945231000 has 1152 divisors, whose sum is σ = 1462366301760. Its totient is φ = 83980800000.

The previous prime is 363945230969. The next prime is 363945231011. The reversal of 363945231000 is 132549363.

It is a happy number.

363945231000 is a `hidden beast` number, since 3 + 639 + 4 + 5 + 2 + 3 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×363945231000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1449980875 + ... + 1449981125.

Almost surely, 2^363945231000 is an apocalyptic number.

363945231000 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 363945231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731183150880).

363945231000 is an abundant number, since it is smaller than the sum of its proper divisors (1098421070760).

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

363945231000 is a wasteful number, since it uses less digits than its factorization.

363945231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 363945231000 in words is "three hundred sixty-three billion, nine hundred forty-five million, two hundred thirty-one thousand".