214145848541412 has 48 divisors (see below), whose sum is σ = 555248126160000. Its totient is φ = 71374854235680.

The previous prime is 214145848541371. The next prime is 214145848541501.

214145848541412 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 4 + 5 + 84 + 8 + 541 + 4 + 12 = 666.

214145848541412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 97453912 + ... + 99627087.

It is an arithmetic number, because the mean of its divisors is an integer number (11567669295000).

Almost surely, 2^{214145848541412} is an apocalyptic number.

It is an amenable number.

214145848541412 is an abundant number, since it is smaller than the sum of its proper divisors (341102277618588).

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

214145848541412 is a wasteful number, since it uses less digits than its factorization.

214145848541412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197091073 (or 197091065 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 54.

The spelling of 214145848541412 in words is "two hundred fourteen trillion, one hundred forty-five billion, eight hundred forty-eight million, five hundred forty-one thousand, four hundred twelve".