221401150388208 has 240 divisors, whose sum is σ = 731186301081600. Its totient is φ = 61199231132160.

The previous prime is 221401150388207. The next prime is 221401150388321. The reversal of 221401150388208 is 802883051104122.

221401150388208 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 0 + 11 + 50 + 388 + 208 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221401150388207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107378083 + ... + 109420541.

It is an arithmetic number, because the mean of its divisors is an integer number (3046609587840).

Almost surely, 2^{221401150388208} is an apocalyptic number.

221401150388208 is a gapful number since it is divisible by the number (28) 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 221401150388208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365593150540800).

221401150388208 is an abundant number, since it is smaller than the sum of its proper divisors (509785150693392).

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

221401150388208 is a wasteful number, since it uses less digits than its factorization.

221401150388208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045980 (or 2045971 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 221401150388208 in words is "two hundred twenty-one trillion, four hundred one billion, one hundred fifty million, three hundred eighty-eight thousand, two hundred eight".