214251210655641 has 80 divisors (see below), whose sum is σ = 336576892410000. Its totient is φ = 135624425932800.

The previous prime is 214251210655577. The next prime is 214251210655681. The reversal of 214251210655641 is 146556012152412.

214251210655641 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 5 + 1 + 21 + 0 + 65 + 564 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27906760809225 + 186344449846416 = 5282685^2 + 13650804^2 .

It is not a de Polignac number, because 214251210655641 - 2⁶ = 214251210655577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214251210655681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 842555485 + ... + 842809733.

It is an arithmetic number, because the mean of its divisors is an integer number (4207211155125).

Almost surely, 2^{214251210655641} is an apocalyptic number.

It is an amenable number.

214251210655641 is a deficient number, since it is larger than the sum of its proper divisors (122325681754359).

214251210655641 is a wasteful number, since it uses less digits than its factorization.

214251210655641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260232 (or 260223 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 214251210655641 in words is "two hundred fourteen trillion, two hundred fifty-one billion, two hundred ten million, six hundred fifty-five thousand, six hundred forty-one".