214233505424100 has 432 divisors, whose sum is σ = 748544991929280. Its totient is φ = 50930286796800.

The previous prime is 214233505424077. The next prime is 214233505424101. The reversal of 214233505424100 is 1424505332412.

It is a happy number.

214233505424100 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 3 + 3 + 5 + 0 + 542 + 4 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (214233505424101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1910133624 + ... + 1910245776.

Almost surely, 2^{214233505424100} is an apocalyptic number.

214233505424100 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 214233505424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374272495964640).

214233505424100 is an abundant number, since it is smaller than the sum of its proper divisors (534311486505180).

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

214233505424100 is a wasteful number, since it uses less digits than its factorization.

214233505424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118780 (or 118770 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 214233505424100 in words is "two hundred fourteen trillion, two hundred thirty-three billion, five hundred five million, four hundred twenty-four thousand, one hundred".