235414215003000 has 256 divisors, whose sum is σ = 801337860311040. Its totient is φ = 57064879296000.

The previous prime is 235414215002851. The next prime is 235414215003001. The reversal of 235414215003000 is 300512414532.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235414215003001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365747457 + ... + 366390543.

It is an arithmetic number, because the mean of its divisors is an integer number (3130226016840).

Almost surely, 2^{235414215003000} is an apocalyptic number.

235414215003000 is a gapful number since it is divisible by the number (20) 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 235414215003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400668930155520).

235414215003000 is an abundant number, since it is smaller than the sum of its proper divisors (565923645308040).

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

235414215003000 is a wasteful number, since it uses less digits than its factorization.

235414215003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654215 (or 654201 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 235414215003000 its reverse (300512414532), we get a palindrome (235714727417532).

The spelling of 235414215003000 in words is "two hundred thirty-five trillion, four hundred fourteen billion, two hundred fifteen million, three thousand".