228816596736000 has 5760 divisors, whose sum is σ = 1132503213441600. Its totient is φ = 45393326899200.

The previous prime is 228816596735959. The next prime is 228816596736019. The reversal of 228816596736000 is 637695618822.

It is a happy number.

228816596736000 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 1 + 6 + 596 + 7 + 36 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 224550143491 + ... + 224550144509.

Almost surely, 2^{228816596736000} is an apocalyptic number.

228816596736000 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 228816596736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566251606720800).

228816596736000 is an abundant number, since it is smaller than the sum of its proper divisors (903686616705600).

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

228816596736000 is a wasteful number, since it uses less digits than its factorization.

228816596736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 228816596736000 in words is "two hundred twenty-eight trillion, eight hundred sixteen billion, five hundred ninety-six million, seven hundred thirty-six thousand".