214478599104 has 672 divisors, whose sum is σ = 795624560640. Its totient is φ = 53626060800.

The previous prime is 214478599091. The next prime is 214478599141. The reversal of 214478599104 is 401995874412.

214478599104 is a `hidden beast` number, since 2 + 1 + 4 + 47 + 8 + 599 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×214478599104² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 143655382 + ... + 143656874.

It is an arithmetic number, because the mean of its divisors is an integer number (1183965120).

Almost surely, 2^214478599104 is an apocalyptic number.

214478599104 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 214478599104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397812280320).

214478599104 is an abundant number, since it is smaller than the sum of its proper divisors (581145961536).

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

214478599104 is a wasteful number, since it uses less digits than its factorization.

214478599104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 214478599104 in words is "two hundred fourteen billion, four hundred seventy-eight million, five hundred ninety-nine thousand, one hundred four".