221035413504000 has 864 divisors, whose sum is σ = 776419004533536. Its totient is φ = 55836042854400.

The previous prime is 221035413503977. The next prime is 221035413504023. The reversal of 221035413504000 is 405314530122.

It is an interprime number because it is at equal distance from previous prime (221035413503977) and next prime (221035413504023).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17743865772 + ... + 17743878228.

It is an arithmetic number, because the mean of its divisors is an integer number (898633107099).

Almost surely, 2^{221035413504000} is an apocalyptic number.

221035413504000 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 221035413504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388209502266768).

221035413504000 is an abundant number, since it is smaller than the sum of its proper divisors (555383591029536).

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

221035413504000 is an frugal number, since it uses more digits than its factorization.

221035413504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12547 (or 12486 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 221035413504000 in words is "two hundred twenty-one trillion, thirty-five billion, four hundred thirteen million, five hundred four thousand".