213458046676875 has 4320 divisors, whose sum is σ = 635899005181440. Its totient is φ = 69838433280000.

The previous prime is 213458046676817. The next prime is 213458046676877. The reversal of 213458046676875 is 578676640854312.

It is a double factorial (213458046676875 = 27 !! = 1 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 9 ⋅ 11 ⋅ 13 ⋅ 15 ⋅ 17 ⋅ 19 ⋅ 21 ⋅ 23 ⋅ 25 ⋅ 27 ).

213458046676875 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 5 + 80 + 466 + 7 + 6 + 87 + 5 = 666.

213458046676875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213458046676875 - 2⁶ = 213458046676811 is a prime.

It is a super-2 number, since 2×213458046676875² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213458046676877) by changing a digit.

It is a polite number, since it can be written in 4319 ways as a sum of consecutive naturals, for example, 9280784638114 + ... + 9280784638136.

It is an arithmetic number, because the mean of its divisors is an integer number (147198843792).

Almost surely, 2^{213458046676875} is an apocalyptic number.

213458046676875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213458046676875 is an abundant number, since it is smaller than the sum of its proper divisors (422440958504565).

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

213458046676875 is a wasteful number, since it uses less digits than its factorization.

213458046676875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 213458046676875 in words is "two hundred thirteen trillion, four hundred fifty-eight billion, forty-six million, six hundred seventy-six thousand, eight hundred seventy-five".