221992356864 has 176 divisors, whose sum is σ = 627608234880. Its totient is φ = 69565317120.

The previous prime is 221992356851. The next prime is 221992356877. The reversal of 221992356864 is 468653299122.

It is an interprime number because it is at equal distance from previous prime (221992356851) and next prime (221992356877).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7631692 + ... + 7660724.

It is an arithmetic number, because the mean of its divisors is an integer number (3565955880).

Almost surely, 2^221992356864 is an apocalyptic number.

221992356864 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 221992356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313804117440).

221992356864 is an abundant number, since it is smaller than the sum of its proper divisors (405615878016).

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

221992356864 is a wasteful number, since it uses less digits than its factorization.

221992356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29206 (or 29188 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 57.

The spelling of 221992356864 in words is "two hundred twenty-one billion, nine hundred ninety-two million, three hundred fifty-six thousand, eight hundred sixty-four".