221157600384 has 192 divisors, whose sum is σ = 692014838400. Its totient is φ = 62387619840.

The previous prime is 221157600383. The next prime is 221157600401. The reversal of 221157600384 is 483006751122.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (221157600383) 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, 1412074 + ... + 1560854.

It is an arithmetic number, because the mean of its divisors is an integer number (3604243950).

Almost surely, 2^221157600384 is an apocalyptic number.

221157600384 is a gapful number since it is divisible by the number (24) 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 221157600384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346007419200).

221157600384 is an abundant number, since it is smaller than the sum of its proper divisors (470857238016).

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

221157600384 is a wasteful number, since it uses less digits than its factorization.

221157600384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148891 (or 148872 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 221157600384 in words is "two hundred twenty-one billion, one hundred fifty-seven million, six hundred thousand, three hundred eighty-four".