221162906256768 has 384 divisors, whose sum is σ = 742876216842240. Its totient is φ = 61839565516800.

The previous prime is 221162906256763. The next prime is 221162906256793. The reversal of 221162906256768 is 867652609261122.

221162906256768 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 6 + 2 + 9 + 0 + 6 + 2 + 567 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×221162906256768² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221162906256763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6663323053 + ... + 6663356243.

It is an arithmetic number, because the mean of its divisors is an integer number (1934573481360).

Almost surely, 2^{221162906256768} is an apocalyptic number.

221162906256768 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 221162906256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371438108421120).

221162906256768 is an abundant number, since it is smaller than the sum of its proper divisors (521713310585472).

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

221162906256768 is a wasteful number, since it uses less digits than its factorization.

221162906256768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50846 (or 50831 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 221162906256768 in words is "two hundred twenty-one trillion, one hundred sixty-two billion, nine hundred six million, two hundred fifty-six thousand, seven hundred sixty-eight".