214153677144 has 64 divisors (see below), whose sum is σ = 648950544000. Its totient is φ = 64895052960.

The previous prime is 214153677131. The next prime is 214153677169. The reversal of 214153677144 is 441776351412.

214153677144 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 536 + 7 + 71 + 44 = 666.

214153677144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214153677144.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45063634 + ... + 45068385.

It is an arithmetic number, because the mean of its divisors is an integer number (10139852250).

Almost surely, 2^214153677144 is an apocalyptic number.

214153677144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214153677144 is an abundant number, since it is smaller than the sum of its proper divisors (434796866856).

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

214153677144 is a wasteful number, since it uses less digits than its factorization.

214153677144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90132045 (or 90132035 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 214153677144 in words is "two hundred fourteen billion, one hundred fifty-three million, six hundred seventy-seven thousand, one hundred forty-four".