234370312036224 has 768 divisors, whose sum is σ = 787876031232000. Its totient is φ = 61675735080960.

The previous prime is 234370312036187. The next prime is 234370312036243. The reversal of 234370312036224 is 422630213073432.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 10306057494 + ... + 10306080234.

It is an arithmetic number, because the mean of its divisors is an integer number (1025880249000).

Almost surely, 2^{234370312036224} is an apocalyptic number.

234370312036224 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 234370312036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393938015616000).

234370312036224 is an abundant number, since it is smaller than the sum of its proper divisors (553505719195776).

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

234370312036224 is a wasteful number, since it uses less digits than its factorization.

234370312036224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23268 (or 23229 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 42.

The spelling of 234370312036224 in words is "two hundred thirty-four trillion, three hundred seventy billion, three hundred twelve million, thirty-six thousand, two hundred twenty-four".