234045960977760 has 432 divisors, whose sum is σ = 809241870861648. Its totient is φ = 56846045429760.

The previous prime is 234045960977723. The next prime is 234045960977761. The reversal of 234045960977760 is 67779069540432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234045960977761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132432094 + ... + 134187746.

It is an arithmetic number, because the mean of its divisors is an integer number (1873245071439).

Almost surely, 2^{234045960977760} is an apocalyptic number.

234045960977760 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 234045960977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404620935430824).

234045960977760 is an abundant number, since it is smaller than the sum of its proper divisors (575195909883888).

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

234045960977760 is a wasteful number, since it uses less digits than its factorization.

234045960977760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755767 (or 1755711 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 69.

The spelling of 234045960977760 in words is "two hundred thirty-four trillion, forty-five billion, nine hundred sixty million, nine hundred seventy-seven thousand, seven hundred sixty".