214907132636640 has 144 divisors (see below), whose sum is σ = 733450168092096. Its totient is φ = 57302350156800.

The previous prime is 214907132636551. The next prime is 214907132636671. The reversal of 214907132636640 is 46636231709412.

214907132636640 is a `hidden beast` number, since 2 + 1 + 490 + 7 + 1 + 32 + 63 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5185785 + ... + 21370695.

It is an arithmetic number, because the mean of its divisors is an integer number (5093403945084).

Almost surely, 2^{214907132636640} is an apocalyptic number.

214907132636640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214907132636640 is an abundant number, since it is smaller than the sum of its proper divisors (518543035455456).

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

214907132636640 is a wasteful number, since it uses less digits than its factorization.

214907132636640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16194153 (or 16194142 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 214907132636640 in words is "two hundred fourteen trillion, nine hundred seven billion, one hundred thirty-two million, six hundred thirty-six thousand, six hundred forty".