234151948800 has 1800 divisors, whose sum is σ = 1102371787440. Its totient is φ = 48538828800.

The previous prime is 234151948777. The next prime is 234151948819. The reversal of 234151948800 is 8849151432.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 558834991 + ... + 558835409.

Almost surely, 2^234151948800 is an apocalyptic number.

234151948800 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 234151948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551185893720).

234151948800 is an abundant number, since it is smaller than the sum of its proper divisors (868219838640).

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

234151948800 is a wasteful number, since it uses less digits than its factorization.

234151948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 234151948800 in words is "two hundred thirty-four billion, one hundred fifty-one million, nine hundred forty-eight thousand, eight hundred".