229902498144 has 72 divisors (see below), whose sum is σ = 713220259752. Its totient is φ = 69667422720.

The previous prime is 229902498143. The next prime is 229902498151. The reversal of 229902498144 is 441894209922.

It is a happy number.

229902498144 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 0 + 2 + 498 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229902498143) 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 11 ways as a sum of consecutive naturals, for example, 36281949 + ... + 36288284.

It is an arithmetic number, because the mean of its divisors is an integer number (9905836941).

Almost surely, 2^229902498144 is an apocalyptic number.

229902498144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

229902498144 is an abundant number, since it is smaller than the sum of its proper divisors (483317761608).

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

229902498144 is a wasteful number, since it uses less digits than its factorization.

229902498144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72570260 (or 72570249 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 229902498144 in words is "two hundred twenty-nine billion, nine hundred two million, four hundred ninety-eight thousand, one hundred forty-four".