234254657545120 has 144 divisors (see below), whose sum is σ = 561826966192128. Its totient is φ = 92295092252160.

The previous prime is 234254657545079. The next prime is 234254657545147. The reversal of 234254657545120 is 21545756452432.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392304385 + ... + 392901055.

It is an arithmetic number, because the mean of its divisors is an integer number (3901576154112).

Almost surely, 2^{234254657545120} is an apocalyptic number.

234254657545120 is a gapful number since it is divisible by the number (20) 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 234254657545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280913483096064).

234254657545120 is an abundant number, since it is smaller than the sum of its proper divisors (327572308647008).

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

234254657545120 is a wasteful number, since it uses less digits than its factorization.

234254657545120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597091 (or 596944 counting only the distinct ones).

The product of its (nonzero) digits is 40320000, while the sum is 55.

The spelling of 234254657545120 in words is "two hundred thirty-four trillion, two hundred fifty-four billion, six hundred fifty-seven million, five hundred forty-five thousand, one hundred twenty".