221461302113136 has 120 divisors (see below), whose sum is σ = 625948672078080. Its totient is φ = 73086253248000.

The previous prime is 221461302113099. The next prime is 221461302113137. The reversal of 221461302113136 is 631311203164122.

221461302113136 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 613 + 0 + 2 + 1 + 1 + 3 + 1 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221461302113136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221461302113137) 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, 334486705 + ... + 335148143.

It is an arithmetic number, because the mean of its divisors is an integer number (5216238933984).

Almost surely, 2^{221461302113136} 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 221461302113136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312974336039040).

221461302113136 is an abundant number, since it is smaller than the sum of its proper divisors (404487369964944).

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

221461302113136 is a wasteful number, since it uses less digits than its factorization.

221461302113136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684575 (or 684566 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 221461302113136 its reverse (631311203164122), we get a palindrome (852772505277258).

The spelling of 221461302113136 in words is "two hundred twenty-one trillion, four hundred sixty-one billion, three hundred two million, one hundred thirteen thousand, one hundred thirty-six".