232741201109760 has 1728 divisors, whose sum is σ = 973682212478976. Its totient is φ = 50201690112000.

The previous prime is 232741201109723. The next prime is 232741201109867. The reversal of 232741201109760 is 67901102147232.

232741201109760 is a `hidden beast` number, since 2 + 3 + 274 + 1 + 201 + 109 + 76 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83092180360 + ... + 83092183160.

It is an arithmetic number, because the mean of its divisors is an integer number (563473502592).

Almost surely, 2^{232741201109760} is an apocalyptic number.

232741201109760 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 232741201109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486841106239488).

232741201109760 is an abundant number, since it is smaller than the sum of its proper divisors (740941011369216).

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

232741201109760 is a wasteful number, since it uses less digits than its factorization.

232741201109760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 232741201109760 in words is "two hundred thirty-two trillion, seven hundred forty-one billion, two hundred one million, one hundred nine thousand, seven hundred sixty".