229561273534320 has 2400 divisors, whose sum is σ = 1075851646087680. Its totient is φ = 44817932759040.

The previous prime is 229561273534309. The next prime is 229561273534361. The reversal of 229561273534320 is 23435372165922.

229561273534320 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 6 + 1 + 2 + 73 + 534 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3372345885 + ... + 3372413955.

Almost surely, 2^{229561273534320} is an apocalyptic number.

229561273534320 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 229561273534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537925823043840).

229561273534320 is an abundant number, since it is smaller than the sum of its proper divisors (846290372553360).

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

229561273534320 is a wasteful number, since it uses less digits than its factorization.

229561273534320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68185 (or 68163 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 229561273534320 in words is "two hundred twenty-nine trillion, five hundred sixty-one billion, two hundred seventy-three million, five hundred thirty-four thousand, three hundred twenty".