228453684076800 has 5346 divisors, whose sum is σ = 1083032810397342. Its totient is φ = 47540926218240.

The previous prime is 228453684076799. The next prime is 228453684076831. The reversal of 228453684076800 is 8670486354822.

228453684076800 is a `hidden beast` number, since 2 + 2 + 8 + 453 + 68 + 40 + 7 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 138234385465344 + 90219298611456 = 11757312^2 + 9498384^2 .

It is a super-3 number, since 3×228453684076800³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 593 ways as a sum of consecutive naturals, for example, 3129502521564 + ... + 3129502521636.

Almost surely, 2^{228453684076800} is an apocalyptic number.

228453684076800 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 228453684076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541516405198671).

228453684076800 is an abundant number, since it is smaller than the sum of its proper divisors (854579126320542).

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

228453684076800 is an frugal number, since it uses more digits than its factorization.

228453684076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 228453684076800 in words is "two hundred twenty-eight trillion, four hundred fifty-three billion, six hundred eighty-four million, seventy-six thousand, eight hundred".