213448120704 has 1280 divisors, whose sum is σ = 843205440000. Its totient is φ = 53331167232.

The previous prime is 213448120687. The next prime is 213448120729. The reversal of 213448120704 is 407021844312.

213448120704 is a `hidden beast` number, since 2 + 1 + 3 + 448 + 1 + 207 + 0 + 4 = 666.

It is a super-3 number, since 3×213448120704³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11234111607 + ... + 11234111625.

It is an arithmetic number, because the mean of its divisors is an integer number (658754250).

Almost surely, 2^213448120704 is an apocalyptic number.

213448120704 is a gapful number since it is divisible by the number (24) 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 213448120704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421602720000).

213448120704 is an abundant number, since it is smaller than the sum of its proper divisors (629757319296).

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

213448120704 is an frugal number, since it uses more digits than its factorization.

213448120704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 213448120704 in words is "two hundred thirteen billion, four hundred forty-eight million, one hundred twenty thousand, seven hundred four".