228687934260960 has 288 divisors, whose sum is σ = 814352715828288. Its totient is φ = 58330217594880.

The previous prime is 228687934260883. The next prime is 228687934260977. The reversal of 228687934260960 is 69062439786822.

228687934260960 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 8 + 7 + 9 + 3 + 4 + 2 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1347667320 + ... + 1347837000.

It is an arithmetic number, because the mean of its divisors is an integer number (2827613596626).

Almost surely, 2^{228687934260960} is an apocalyptic number.

228687934260960 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 228687934260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407176357914144).

228687934260960 is an abundant number, since it is smaller than the sum of its proper divisors (585664781567328).

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

228687934260960 is a wasteful number, since it uses less digits than its factorization.

228687934260960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210418 (or 210407 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 228687934260960 in words is "two hundred twenty-eight trillion, six hundred eighty-seven billion, nine hundred thirty-four million, two hundred sixty thousand, nine hundred sixty".