243151177561760 has 192 divisors, whose sum is σ = 640668746640384. Its totient is φ = 86599789977600.

The previous prime is 243151177561697. The next prime is 243151177561793. The reversal of 243151177561760 is 67165771151342.

It is a happy number.

It is a super-2 number, since 2×243151177561760² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 243151177561696 and 243151177561705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13653740 + ... + 25936980.

It is an arithmetic number, because the mean of its divisors is an integer number (3336816388752).

Almost surely, 2^{243151177561760} is an apocalyptic number.

243151177561760 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 243151177561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320334373320192).

243151177561760 is an abundant number, since it is smaller than the sum of its proper divisors (397517569078624).

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

243151177561760 is a wasteful number, since it uses less digits than its factorization.

243151177561760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12283607 (or 12283599 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 56.

The spelling of 243151177561760 in words is "two hundred forty-three trillion, one hundred fifty-one billion, one hundred seventy-seven million, five hundred sixty-one thousand, seven hundred sixty".