214073161487640 has 1728 divisors, whose sum is σ = 905834115014400. Its totient is φ = 43652547993600.

The previous prime is 214073161487617. The next prime is 214073161487737. The reversal of 214073161487640 is 46784161370412.

214073161487640 is a `hidden beast` number, since 2 + 1 + 40 + 7 + 3 + 1 + 61 + 487 + 64 + 0 = 666.

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 431 ways as a sum of consecutive naturals, for example, 132062406030 + ... + 132062407650.

It is an arithmetic number, because the mean of its divisors is an integer number (524209557300).

Almost surely, 2^{214073161487640} is an apocalyptic number.

214073161487640 is a gapful number since it is divisible by the number (20) 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 214073161487640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452917057507200).

214073161487640 is an abundant number, since it is smaller than the sum of its proper divisors (691760953526760).

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

214073161487640 is a wasteful number, since it uses less digits than its factorization.

214073161487640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 214073161487640 in words is "two hundred fourteen trillion, seventy-three billion, one hundred sixty-one million, four hundred eighty-seven thousand, six hundred forty".