228079968933600 has 4032 divisors, whose sum is σ = 1034746823964672. Its totient is φ = 47889211392000.

The previous prime is 228079968933559. The next prime is 228079968933659. The reversal of 228079968933600 is 6339869970822.

228079968933600 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 7 + 9 + 9 + 6 + 8 + 9 + 3 + 3 + 600 = 666.

It is a super-2 number, since 2×228079968933600² (a number of 30 digits) contains 22 as substring.

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 671 ways as a sum of consecutive naturals, for example, 841623501465 + ... + 841623501735.

It is an arithmetic number, because the mean of its divisors is an integer number (256633636896).

Almost surely, 2^{228079968933600} is an apocalyptic number.

228079968933600 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 228079968933600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517373411982336).

228079968933600 is an abundant number, since it is smaller than the sum of its proper divisors (806666855031072).

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

228079968933600 is a wasteful number, since it uses less digits than its factorization.

228079968933600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 228079968933600 in words is "two hundred twenty-eight trillion, seventy-nine billion, nine hundred sixty-eight million, nine hundred thirty-three thousand, six hundred".