213465509964 has 288 divisors, whose sum is σ = 635946030720. Its totient is φ = 59122483200.

The previous prime is 213465509861. The next prime is 213465509987. The reversal of 213465509964 is 469905564312.

213465509964 is a `hidden beast` number, since 2 + 1 + 3 + 46 + 5 + 509 + 96 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 213465509964.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 394575534 + ... + 394576074.

It is an arithmetic number, because the mean of its divisors is an integer number (2208145940).

Almost surely, 2^213465509964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213465509964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317973015360).

213465509964 is an abundant number, since it is smaller than the sum of its proper divisors (422480520756).

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

213465509964 is a wasteful number, since it uses less digits than its factorization.

213465509964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 213465509964 in words is "two hundred thirteen billion, four hundred sixty-five million, five hundred nine thousand, nine hundred sixty-four".