234964719000 has 512 divisors, whose sum is σ = 899656243200. Its totient is φ = 56955312000.

The previous prime is 234964718993. The next prime is 234964719001. The reversal of 234964719000 is 917469432.

It is a happy number.

234964719000 is a `hidden beast` number, since 2 + 3 + 4 + 96 + 471 + 90 + 0 + 0 = 666.

It is a super-2 number, since 2×234964719000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234964719001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24052117 + ... + 24061883.

It is an arithmetic number, because the mean of its divisors is an integer number (1757141100).

Almost surely, 2^234964719000 is an apocalyptic number.

234964719000 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 234964719000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449828121600).

234964719000 is an abundant number, since it is smaller than the sum of its proper divisors (664691524200).

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

234964719000 is an equidigital number, since it uses as much as digits as its factorization.

234964719000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9820 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 234964719000 in words is "two hundred thirty-four billion, nine hundred sixty-four million, seven hundred nineteen thousand".