213754464001 has 16 divisors (see below), whose sum is σ = 234120015360. Its totient is φ = 193953453120.

The previous prime is 213754463987. The next prime is 213754464013. The reversal of 213754464001 is 100464457312.

It is a cyclic number.

It is not a de Polignac number, because 213754464001 - 2⁷ = 213754463873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213754464041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1170180 + ... + 1340458.

It is an arithmetic number, because the mean of its divisors is an integer number (14632500960).

Almost surely, 2^213754464001 is an apocalyptic number.

It is an amenable number.

213754464001 is a deficient number, since it is larger than the sum of its proper divisors (20365551359).

213754464001 is a wasteful number, since it uses less digits than its factorization.

213754464001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171936.

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 213754464001 in words is "two hundred thirteen billion, seven hundred fifty-four million, four hundred sixty-four thousand, one".