228969861120 has 2496 divisors, whose sum is σ = 1143760310784. Its totient is φ = 40768634880.

The previous prime is 228969861017. The next prime is 228969861139. The reversal of 228969861120 is 21168969822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-4 number, since 4×228969861120⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3136573404 + ... + 3136573476.

It is an arithmetic number, because the mean of its divisors is an integer number (458237304).

Almost surely, 2^228969861120 is an apocalyptic number.

228969861120 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 228969861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571880155392).

228969861120 is an abundant number, since it is smaller than the sum of its proper divisors (914790449664).

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

228969861120 is a wasteful number, since it uses less digits than its factorization.

228969861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 228969861120 in words is "two hundred twenty-eight billion, nine hundred sixty-nine million, eight hundred sixty-one thousand, one hundred twenty".