213402461664 has 96 divisors (see below), whose sum is σ = 640345015296. Its totient is φ = 60959024640.

The previous prime is 213402461653. The next prime is 213402461681. The reversal of 213402461664 is 466164204312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×213402461664² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3342489 + ... + 3405735.

It is an arithmetic number, because the mean of its divisors is an integer number (6670260576).

Almost surely, 2^213402461664 is an apocalyptic number.

213402461664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213402461664 is an abundant number, since it is smaller than the sum of its proper divisors (426942553632).

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

213402461664 is a wasteful number, since it uses less digits than its factorization.

213402461664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68288 (or 68280 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 213402461664 its reverse (466164204312), we get a palindrome (679566665976).

The spelling of 213402461664 in words is "two hundred thirteen billion, four hundred two million, four hundred sixty-one thousand, six hundred sixty-four".