214376408064 has 891 divisors, whose sum is σ = 794709653283. Its totient is φ = 55472062464.

The previous prime is 214376408009. The next prime is 214376408107. The reversal of 214376408064 is 460804673412.

The square root of 214376408064 is 463008.

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

214376408064 is a `hidden beast` number, since 21 + 437 + 64 + 0 + 80 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5563966464 + 208812441600 = 74592^2 + 456960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4044837862 + ... + 4044837914.

Almost surely, 2^214376408064 is an apocalyptic number.

214376408064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

214376408064 is the 463008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214376408064

214376408064 is an abundant number, since it is smaller than the sum of its proper divisors (580333245219).

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

214376408064 is a wasteful number, since it uses less digits than its factorization.

214376408064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 214376408064 in words is "two hundred fourteen billion, three hundred seventy-six million, four hundred eight thousand, sixty-four".