206364251230464 has 144 divisors (see below), whose sum is σ = 581603612204160. Its totient is φ = 64734365122560.

The previous prime is 206364251230433. The next prime is 206364251230499. The reversal of 206364251230464 is 464032152463602.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114507874 + ... + 116296094.

It is an arithmetic number, because the mean of its divisors is an integer number (4038913973640).

Almost surely, 2^{206364251230464} is an apocalyptic number.

206364251230464 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 206364251230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290801806102080).

206364251230464 is an abundant number, since it is smaller than the sum of its proper divisors (375239360973696).

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

206364251230464 is a wasteful number, since it uses less digits than its factorization.

206364251230464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797096 (or 1797082 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 206364251230464 in words is "two hundred six trillion, three hundred sixty-four billion, two hundred fifty-one million, two hundred thirty thousand, four hundred sixty-four".