213754464000 has 3024 divisors, whose sum is σ = 1072739487456. Its totient is φ = 41803776000.

The previous prime is 213754463987. The next prime is 213754464013. The reversal of 213754464000 is 464457312.

213754464000 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 5 + 4 + 4 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213754463987) and next prime (213754464013).

It is a tau number, because it is divible by the number of its divisors (3024).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 12573791992 + ... + 12573792008.

It is an arithmetic number, because the mean of its divisors is an integer number (354741894).

Almost surely, 2^213754464000 is an apocalyptic number.

213754464000 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 213754464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536369743728).

213754464000 is an abundant number, since it is smaller than the sum of its proper divisors (858985023456).

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

213754464000 is an equidigital number, since it uses as much as digits as its factorization.

213754464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 213754464000 in words is "two hundred thirteen billion, seven hundred fifty-four million, four hundred sixty-four thousand".