213741120096 has 144 divisors (see below), whose sum is σ = 698296854528. Its totient is φ = 60749049600.

The previous prime is 213741120059. The next prime is 213741120107. The reversal of 213741120096 is 690021147312.

213741120096 is a `hidden beast` number, since 2 + 1 + 37 + 411 + 200 + 9 + 6 = 666.

213741120096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 213741120096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107511 + ... + 662601.

It is an arithmetic number, because the mean of its divisors is an integer number (4849283712).

Almost surely, 2^213741120096 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 213741120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349148427264).

213741120096 is an abundant number, since it is smaller than the sum of its proper divisors (484555734432).

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

213741120096 is a wasteful number, since it uses less digits than its factorization.

213741120096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555305 (or 555294 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 213741120096 in words is "two hundred thirteen billion, seven hundred forty-one million, one hundred twenty thousand, ninety-six".