213386779945248 has 384 divisors, whose sum is σ = 719590961037312. Its totient is φ = 53814997057536.

The previous prime is 213386779945219. The next prime is 213386779945327. The reversal of 213386779945248 is 842549977683312.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 684405840 + ... + 684717552.

It is an arithmetic number, because the mean of its divisors is an integer number (1873934794368).

Almost surely, 2^{213386779945248} is an apocalyptic number.

213386779945248 is a gapful number since it is divisible by the number (28) 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 213386779945248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359795480518656).

213386779945248 is an abundant number, since it is smaller than the sum of its proper divisors (506204181092064).

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

213386779945248 is a wasteful number, since it uses less digits than its factorization.

213386779945248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315176 (or 315168 counting only the distinct ones).

The product of its digits is 4389396480, while the sum is 78.

The spelling of 213386779945248 in words is "two hundred thirteen trillion, three hundred eighty-six billion, seven hundred seventy-nine million, nine hundred forty-five thousand, two hundred forty-eight".