213565053240048 has 160 divisors (see below), whose sum is σ = 580331631255552. Its totient is φ = 67582854144000.

The previous prime is 213565053240029. The next prime is 213565053240199. The reversal of 213565053240048 is 840042350565312.

It is a super-2 number, since 2×213565053240048² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 213565053239979 and 213565053240006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587907273 + ... + 588270423.

Almost surely, 2^{213565053240048} 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 213565053240048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290165815627776).

213565053240048 is an abundant number, since it is smaller than the sum of its proper divisors (366766578015504).

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

213565053240048 is a wasteful number, since it uses less digits than its factorization.

213565053240048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370703 (or 370697 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 213565053240048 in words is "two hundred thirteen trillion, five hundred sixty-five billion, fifty-three million, two hundred forty thousand, forty-eight".