214688148954752 has 32 divisors (see below), whose sum is σ = 466580778271200. Its totient is φ = 97585522251520.

The previous prime is 214688148954599. The next prime is 214688148954767. The reversal of 214688148954752 is 257459841886412.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 214688148954752.

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 3 ways as a sum of consecutive naturals, for example, 76238687852 + ... + 76238690667.

It is an arithmetic number, because the mean of its divisors is an integer number (14580649320975).

Almost surely, 2^{214688148954752} is an apocalyptic number.

214688148954752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214688148954752 is an abundant number, since it is smaller than the sum of its proper divisors (251892629316448).

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

214688148954752 is a wasteful number, since it uses less digits than its factorization.

214688148954752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152477378544 (or 152477378532 counting only the distinct ones).

The product of its digits is 1238630400, while the sum is 74.

The spelling of 214688148954752 in words is "two hundred fourteen trillion, six hundred eighty-eight billion, one hundred forty-eight million, nine hundred fifty-four thousand, seven hundred fifty-two".