219997140749568 has 1008 divisors, whose sum is σ = 816728558227456. Its totient is φ = 57563799552000.

The previous prime is 219997140749527. The next prime is 219997140749569. The reversal of 219997140749568 is 865947041799912.

219997140749568 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 9 + 7 + 1 + 4 + 0 + 7 + 49 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219997140749569) 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 111 ways as a sum of consecutive naturals, for example, 2156762568 + ... + 2156864568.

Almost surely, 2^{219997140749568} is an apocalyptic number.

219997140749568 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 219997140749568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408364279113728).

219997140749568 is an abundant number, since it is smaller than the sum of its proper divisors (596731417477888).

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

219997140749568 is a wasteful number, since it uses less digits than its factorization.

219997140749568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102182 (or 102153 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 81.

The spelling of 219997140749568 in words is "two hundred nineteen trillion, nine hundred ninety-seven billion, one hundred forty million, seven hundred forty-nine thousand, five hundred sixty-eight".