221626423034352 has 240 divisors, whose sum is σ = 725641161493248. Its totient is φ = 61823359503360.

The previous prime is 221626423034347. The next prime is 221626423034381. The reversal of 221626423034352 is 253430324626122.

221626423034352 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 2 + 64 + 230 + 3 + 4 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221626423034298 and 221626423034307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102653827 + ... + 104790557.

Almost surely, 2^{221626423034352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221626423034352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362820580746624).

221626423034352 is an abundant number, since it is smaller than the sum of its proper divisors (504014738458896).

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

221626423034352 is a wasteful number, since it uses less digits than its factorization.

221626423034352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139188 (or 2139179 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 221626423034352 in words is "two hundred twenty-one trillion, six hundred twenty-six billion, four hundred twenty-three million, thirty-four thousand, three hundred fifty-two".