217019907144 has 192 divisors, whose sum is σ = 625768416000. Its totient is φ = 67753584000.

The previous prime is 217019907133. The next prime is 217019907173. The reversal of 217019907144 is 441709910712.

It is a self number, because there is not a number n which added to its sum of digits gives 217019907144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47725879 + ... + 47730425.

It is an arithmetic number, because the mean of its divisors is an integer number (3259210500).

Almost surely, 2^217019907144 is an apocalyptic number.

217019907144 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 217019907144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312884208000).

217019907144 is an abundant number, since it is smaller than the sum of its proper divisors (408748508856).

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

217019907144 is a wasteful number, since it uses less digits than its factorization.

217019907144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 217019907144 in words is "two hundred seventeen billion, nineteen million, nine hundred seven thousand, one hundred forty-four".