32142300100224 has 128 divisors (see below), whose sum is σ = 87397907256000. Its totient is φ = 10460815712256.

The previous prime is 32142300100069. The next prime is 32142300100241. The reversal of 32142300100224 is 42200100324123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×32142300100224³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 32142300100194 and 32142300100203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41707252 + ... + 42470924.

Almost surely, 2^{32142300100224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32142300100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43698953628000).

32142300100224 is an abundant number, since it is smaller than the sum of its proper divisors (55255607155776).

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

32142300100224 is a wasteful number, since it uses less digits than its factorization.

32142300100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766282 (or 766270 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 32142300100224 its reverse (42200100324123), we get a palindrome (74342400424347).

The spelling of 32142300100224 in words is "thirty-two trillion, one hundred forty-two billion, three hundred million, one hundred thousand, two hundred twenty-four".