214946590341 has 48 divisors (see below), whose sum is σ = 351940344000. Its totient is φ = 116028122112.

The previous prime is 214946590307. The next prime is 214946590361. The reversal of 214946590341 is 143095649412.

It is not a de Polignac number, because 214946590341 - 2¹⁴ = 214946573957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214946590301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864501 + ... + 1085013.

It is an arithmetic number, because the mean of its divisors is an integer number (7332090500).

Almost surely, 2^214946590341 is an apocalyptic number.

214946590341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214946590341 is a deficient number, since it is larger than the sum of its proper divisors (136993753659).

214946590341 is a wasteful number, since it uses less digits than its factorization.

214946590341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220898 (or 220891 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 214946590341 in words is "two hundred fourteen billion, nine hundred forty-six million, five hundred ninety thousand, three hundred forty-one".