234101145600 has 1197 divisors, whose sum is σ = 1012571735997. Its totient is φ = 53508833280.

The previous prime is 234101145587. The next prime is 234101145643. The reversal of 234101145600 is 6541101432.

It is a happy number.

The square root of 234101145600 is 483840.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as 9! ⋅ 8! ⋅ (2!)⁴.

234101145600 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 0 + 11 + 45 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84276412416 + 149824733184 = 290304^2 + 387072^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 33443020797 + ... + 33443020803.

Almost surely, 2^234101145600 is an apocalyptic number.

234101145600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

234101145600 is the 483840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234101145600

234101145600 is an abundant number, since it is smaller than the sum of its proper divisors (778470590397).

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

234101145600 is an frugal number, since it uses more digits than its factorization.

234101145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 234101145600 in words is "two hundred thirty-four billion, one hundred one million, one hundred forty-five thousand, six hundred".