221418142153000 has 256 divisors, whose sum is σ = 567543837369600. Its totient is φ = 80352727833600.

The previous prime is 221418142152979. The next prime is 221418142153133. The reversal of 221418142153000 is 351241814122.

221418142153000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×221418142153000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4266795054 + ... + 4266846946.

It is an arithmetic number, because the mean of its divisors is an integer number (2216968114725).

Almost surely, 2^{221418142153000} is an apocalyptic number.

221418142153000 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 221418142153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283771918684800).

221418142153000 is an abundant number, since it is smaller than the sum of its proper divisors (346125695216600).

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

221418142153000 is a wasteful number, since it uses less digits than its factorization.

221418142153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57549 (or 57535 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

Adding to 221418142153000 its reverse (351241814122), we get a palindrome (221769383967122).

The spelling of 221418142153000 in words is "two hundred twenty-one trillion, four hundred eighteen billion, one hundred forty-two million, one hundred fifty-three thousand".