221426102650464 has 1536 divisors, whose sum is σ = 789780450816000. Its totient is φ = 59779399680000.

The previous prime is 221426102650387. The next prime is 221426102650469. The reversal of 221426102650464 is 464056201624122.

221426102650464 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 61 + 0 + 26 + 504 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221426102650469) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11354592714 + ... + 11354612214.

It is an arithmetic number, because the mean of its divisors is an integer number (514179981000).

Almost surely, 2^{221426102650464} is an apocalyptic number.

221426102650464 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 221426102650464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394890225408000).

221426102650464 is an abundant number, since it is smaller than the sum of its proper divisors (568354348165536).

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

221426102650464 is a wasteful number, since it uses less digits than its factorization.

221426102650464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19669 (or 19655 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 221426102650464 in words is "two hundred twenty-one trillion, four hundred twenty-six billion, one hundred two million, six hundred fifty thousand, four hundred sixty-four".