221454149351680 has 1152 divisors, whose sum is σ = 653119622184960. Its totient is φ = 70317680885760.

The previous prime is 221454149351651. The next prime is 221454149351689. The reversal of 221454149351680 is 86153941454122.

It is a super-3 number, since 3×221454149351680³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (221454149351689) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 225283976469 + ... + 225283977451.

It is an arithmetic number, because the mean of its divisors is an integer number (566944116480).

Almost surely, 2^{221454149351680} is an apocalyptic number.

221454149351680 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 221454149351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326559811092480).

221454149351680 is an abundant number, since it is smaller than the sum of its proper divisors (431665472833280).

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

221454149351680 is a wasteful number, since it uses less digits than its factorization.

221454149351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 221454149351680 in words is "two hundred twenty-one trillion, four hundred fifty-four billion, one hundred forty-nine million, three hundred fifty-one thousand, six hundred eighty".