221154452135320 has 96 divisors (see below), whose sum is σ = 547176159180000. Its totient is φ = 80385964116480.

The previous prime is 221154452135263. The next prime is 221154452135321. The reversal of 221154452135320 is 23531254451122.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221154452135321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1893181 + ... + 21116179.

It is an arithmetic number, because the mean of its divisors is an integer number (5699751658125).

Almost surely, 2^{221154452135320} is an apocalyptic number.

221154452135320 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 221154452135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273588079590000).

221154452135320 is an abundant number, since it is smaller than the sum of its proper divisors (326021707044680).

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

221154452135320 is a wasteful number, since it uses less digits than its factorization.

221154452135320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19225409 (or 19225394 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 221154452135320 in words is "two hundred twenty-one trillion, one hundred fifty-four billion, four hundred fifty-two million, one hundred thirty-five thousand, three hundred twenty".