217890901152 has 48 divisors (see below), whose sum is σ = 635515130880. Its totient is φ = 72630300096.

The previous prime is 217890901117. The next prime is 217890901169. The reversal of 217890901152 is 251109098712.

217890901152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 217890901098 and 217890901107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126093408 + ... + 126095135.

It is an arithmetic number, because the mean of its divisors is an integer number (13239898560).

Almost surely, 2^217890901152 is an apocalyptic number.

It is an amenable number.

217890901152 is an abundant number, since it is smaller than the sum of its proper divisors (417624229728).

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

217890901152 is a wasteful number, since it uses less digits than its factorization.

217890901152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252188562 (or 252188548 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

Adding to 217890901152 its reverse (251109098712), we get a palindrome (468999999864).

The spelling of 217890901152 in words is "two hundred seventeen billion, eight hundred ninety million, nine hundred one thousand, one hundred fifty-two".