234093078000 has 240 divisors, whose sum is σ = 847892668896. Its totient is φ = 62424691200.

The previous prime is 234093077983. The next prime is 234093078017. The reversal of 234093078000 is 870390432.

234093078000 is a `hidden beast` number, since 2 + 340 + 9 + 307 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (234093077983) and next prime (234093078017).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245164 + ... + 726836.

Almost surely, 2^234093078000 is an apocalyptic number.

234093078000 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 234093078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423946334448).

234093078000 is an abundant number, since it is smaller than the sum of its proper divisors (613799590896).

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

234093078000 is an equidigital number, since it uses as much as digits as its factorization.

234093078000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481711 (or 481683 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 234093078000 in words is "two hundred thirty-four billion, ninety-three million, seventy-eight thousand".