221411634520000 has 140 divisors (see below), whose sum is σ = 549095451785056. Its totient is φ = 88553917440000.

The previous prime is 221411634519967. The next prime is 221411634520001. The reversal of 221411634520000 is 25436114122.

It is a super-2 number, since 2×221411634520000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221411634520001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 333788665 + ... + 334451335.

Almost surely, 2^{221411634520000} is an apocalyptic number.

221411634520000 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 221411634520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274547725892528).

221411634520000 is an abundant number, since it is smaller than the sum of its proper divisors (327683817265056).

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

221411634520000 is an frugal number, since it uses more digits than its factorization.

221411634520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671056 (or 671031 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 221411634520000 in words is "two hundred twenty-one trillion, four hundred eleven billion, six hundred thirty-four million, five hundred twenty thousand".