228114765080400 has 360 divisors, whose sum is σ = 805350019751200. Its totient is φ = 55152277171200.

The previous prime is 228114765080393. The next prime is 228114765080413. The reversal of 228114765080400 is 4080567411822.

It is a happy number.

228114765080400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 228114765080400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52053651 + ... + 56265549.

Almost surely, 2^{228114765080400} is an apocalyptic number.

228114765080400 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 228114765080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402675009875600).

228114765080400 is an abundant number, since it is smaller than the sum of its proper divisors (577235254670800).

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

228114765080400 is a wasteful number, since it uses less digits than its factorization.

228114765080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212315 (or 4212293 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 228114765080400 in words is "two hundred twenty-eight trillion, one hundred fourteen billion, seven hundred sixty-five million, eighty thousand, four hundred".