243947661120 has 196 divisors, whose sum is σ = 870952962180. Its totient is φ = 65052647424.

The previous prime is 243947661071. The next prime is 243947661169. The reversal of 243947661120 is 21166749342.

243947661120 is a `hidden beast` number, since 2 + 4 + 3 + 9 + 4 + 7 + 6 + 611 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (243947661071) and next prime (243947661169).

It can be written as a sum of positive squares in 2 ways, for example, as 180516216384 + 63431444736 = 424872^2 + 251856^2 .

It is a super-2 number, since 2×243947661120² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 289585 + ... + 756144.

Almost surely, 2^243947661120 is an apocalyptic number.

243947661120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243947661120 is an abundant number, since it is smaller than the sum of its proper divisors (627005301060).

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

243947661120 is an equidigital number, since it uses as much as digits as its factorization.

243947661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045764 (or 1045739 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 243947661120 in words is "two hundred forty-three billion, nine hundred forty-seven million, six hundred sixty-one thousand, one hundred twenty".