221516863776 has 1152 divisors, whose sum is σ = 792860140800. Its totient is φ = 60197437440.

The previous prime is 221516863739. The next prime is 221516863783. The reversal of 221516863776 is 677368615122.

221516863776 is a `hidden beast` number, since 2 + 21 + 516 + 8 + 6 + 37 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5080320) is a multiple of the sum of its prime factors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2283678960 + ... + 2283679056.

It is an arithmetic number, because the mean of its divisors is an integer number (688246650).

Almost surely, 2^221516863776 is an apocalyptic number.

221516863776 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 221516863776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396430070400).

221516863776 is an abundant number, since it is smaller than the sum of its proper divisors (571343277024).

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

221516863776 is a wasteful number, since it uses less digits than its factorization.

221516863776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 221516863776 in words is "two hundred twenty-one billion, five hundred sixteen million, eight hundred sixty-three thousand, seven hundred seventy-six".