214503695904 has 96 divisors (see below), whose sum is σ = 587762832384. Its totient is φ = 68368129280.

The previous prime is 214503695851. The next prime is 214503695909. The reversal of 214503695904 is 409596305412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (214503695909) 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 15 ways as a sum of consecutive naturals, for example, 6791509 + ... + 6823019.

It is an arithmetic number, because the mean of its divisors is an integer number (6122529504).

Almost surely, 2^214503695904 is an apocalyptic number.

214503695904 is a gapful number since it is divisible by the number (24) 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 214503695904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293881416192).

214503695904 is an abundant number, since it is smaller than the sum of its proper divisors (373259136480).

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

214503695904 is a wasteful number, since it uses less digits than its factorization.

214503695904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34630 (or 34622 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 214503695904 in words is "two hundred fourteen billion, five hundred three million, six hundred ninety-five thousand, nine hundred four".