234955558656 has 1152 divisors, whose sum is σ = 906554880000. Its totient is φ = 58334183424.

The previous prime is 234955558619. The next prime is 234955558657. The reversal of 234955558656 is 656855559432.

234955558656 is a `hidden beast` number, since 2 + 3 + 49 + 5 + 5 + 5 + 586 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×234955558656² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 234955558593 and 234955558602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234955558657) 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 127 ways as a sum of consecutive naturals, for example, 1576882870 + ... + 1576883018.

It is an arithmetic number, because the mean of its divisors is an integer number (786940000).

Almost surely, 2^234955558656 is an apocalyptic number.

234955558656 is a gapful number since it is divisible by the number (26) 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 234955558656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453277440000).

234955558656 is an abundant number, since it is smaller than the sum of its proper divisors (671599321344).

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

234955558656 is a wasteful number, since it uses less digits than its factorization.

234955558656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its digits is 194400000, while the sum is 63.

The spelling of 234955558656 in words is "two hundred thirty-four billion, nine hundred fifty-five million, five hundred fifty-eight thousand, six hundred fifty-six".