213554894400 has 189 divisors, whose sum is σ = 759221666593. Its totient is φ = 56933184000.

The previous prime is 213554894383. The next prime is 213554894479. The reversal of 213554894400 is 4498455312.

The square root of 213554894400 is 462120.

It is a perfect power (a square), and thus also a powerful number.

213554894400 is a `hidden beast` number, since 2 + 1 + 3 + 554 + 8 + 94 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76879761984 + 136675132416 = 277272^2 + 369696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55452475 + ... + 55456325.

Almost surely, 2^213554894400 is an apocalyptic number.

213554894400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

213554894400 is the 462120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213554894400

213554894400 is an abundant number, since it is smaller than the sum of its proper divisors (545666772193).

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

213554894400 is an frugal number, since it uses more digits than its factorization.

213554894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7730 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 213554894400 in words is "two hundred thirteen billion, five hundred fifty-four million, eight hundred ninety-four thousand, four hundred".