229749697152 has 192 divisors, whose sum is σ = 668724076800. Its totient is φ = 75706103808.

The previous prime is 229749697147. The next prime is 229749697157. The reversal of 229749697152 is 251796947922.

229749697152 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 496 + 97 + 1 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (229749697147) and next prime (229749697157).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×229749697152² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229749697152.

It is not an unprimeable number, because it can be changed into a prime (229749697157) 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 23 ways as a sum of consecutive naturals, for example, 85312318 + ... + 85315010.

It is an arithmetic number, because the mean of its divisors is an integer number (3482937900).

Almost surely, 2^229749697152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229749697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334362038400).

229749697152 is an abundant number, since it is smaller than the sum of its proper divisors (438974379648).

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

229749697152 is a wasteful number, since it uses less digits than its factorization.

229749697152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3520 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 229749697152 in words is "two hundred twenty-nine billion, seven hundred forty-nine million, six hundred ninety-seven thousand, one hundred fifty-two".