243274876416 has 1600 divisors, whose sum is σ = 958258667520. Its totient is φ = 60197437440.

The previous prime is 243274876409. The next prime is 243274876421. The reversal of 243274876416 is 614678472342.

243274876416 is a `hidden beast` number, since 2 + 432 + 74 + 87 + 64 + 1 + 6 = 666.

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

Its product of digits (10838016) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1915550145 + ... + 1915550271.

Almost surely, 2^243274876416 is an apocalyptic number.

243274876416 is a gapful number since it is divisible by the number (26) 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 243274876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479129333760).

243274876416 is an abundant number, since it is smaller than the sum of its proper divisors (714983791104).

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

243274876416 is a wasteful number, since it uses less digits than its factorization.

243274876416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 243274876416 in words is "two hundred forty-three billion, two hundred seventy-four million, eight hundred seventy-six thousand, four hundred sixteen".