234610749000 has 320 divisors, whose sum is σ = 822771995760. Its totient is φ = 62358681600.

The previous prime is 234610748971. The next prime is 234610749011. The reversal of 234610749000 is 947016432.

234610749000 is a `hidden beast` number, since 2 + 34 + 610 + 7 + 4 + 9 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41540146596 + 193070602404 = 203814^2 + 439398^2 .

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

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 79 ways as a sum of consecutive naturals, for example, 25672432 + ... + 25681568.

Almost surely, 2^234610749000 is an apocalyptic number.

234610749000 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 234610749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411385997880).

234610749000 is an abundant number, since it is smaller than the sum of its proper divisors (588161246760).

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

234610749000 is a wasteful number, since it uses less digits than its factorization.

234610749000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9487 (or 9464 counting only the distinct ones).

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

The spelling of 234610749000 in words is "two hundred thirty-four billion, six hundred ten million, seven hundred forty-nine thousand".