213457359586464 has 576 divisors, whose sum is σ = 770102422790400. Its totient is φ = 56317249437696.

The previous prime is 213457359586423. The next prime is 213457359586469. The reversal of 213457359586464 is 464685953754312.

213457359586464 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 5 + 7 + 35 + 9 + 586 + 4 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 213457359586392 and 213457359586401.

It is not an unprimeable number, because it can be changed into a prime (213457359586469) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 91485102 + ... + 93789330.

It is an arithmetic number, because the mean of its divisors is an integer number (1336983372900).

Almost surely, 2^{213457359586464} is an apocalyptic number.

213457359586464 is a gapful number since it is divisible by the number (24) 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 213457359586464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385051211395200).

213457359586464 is an abundant number, since it is smaller than the sum of its proper divisors (556645063203936).

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

213457359586464 is a wasteful number, since it uses less digits than its factorization.

213457359586464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304342 (or 2304311 counting only the distinct ones).

The product of its digits is 2612736000, while the sum is 72.

The spelling of 213457359586464 in words is "two hundred thirteen trillion, four hundred fifty-seven billion, three hundred fifty-nine million, five hundred eighty-six thousand, four hundred sixty-four".