221962156416 has 768 divisors, whose sum is σ = 889468070400. Its totient is φ = 53210234880.

The previous prime is 221962156411. The next prime is 221962156441. The reversal of 221962156416 is 614651269122.

221962156416 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 621 + 5 + 6 + 4 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221962156411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31131540 + ... + 31138668.

It is an arithmetic number, because the mean of its divisors is an integer number (1158161550).

Almost surely, 2^221962156416 is an apocalyptic number.

221962156416 is a gapful number since it is divisible by the number (26) 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 221962156416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444734035200).

221962156416 is an abundant number, since it is smaller than the sum of its proper divisors (667505913984).

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

221962156416 is a wasteful number, since it uses less digits than its factorization.

221962156416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7189 (or 7165 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 221962156416 in words is "two hundred twenty-one billion, nine hundred sixty-two million, one hundred fifty-six thousand, four hundred sixteen".