213691175368440 has 4608 divisors, whose sum is σ = 948705970544640. Its totient is φ = 37510806896640.

The previous prime is 213691175368397. The next prime is 213691175368441. The reversal of 213691175368440 is 44863571196312.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213691175368441) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1084726778422 + ... + 1084726778618.

It is an arithmetic number, because the mean of its divisors is an integer number (205882372080).

It is a 1-persistent number, because it is pandigital, but 2⋅213691175368440 = 427382350736880 is not.

Almost surely, 2^{213691175368440} is an apocalyptic number.

213691175368440 is a gapful number since it is divisible by the number (20) 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 213691175368440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474352985272320).

213691175368440 is an abundant number, since it is smaller than the sum of its proper divisors (735014795176200).

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

213691175368440 is a wasteful number, since it uses less digits than its factorization.

213691175368440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 213691175368440 in words is "two hundred thirteen trillion, six hundred ninety-one billion, one hundred seventy-five million, three hundred sixty-eight thousand, four hundred forty".