1228639233600 has 315 divisors, whose sum is σ = 4517636008017. Its totient is φ = 327530718720.

The previous prime is 1228639233487. The next prime is 1228639233617. The reversal of 1228639233600 is 63329368221.

The square root of 1228639233600 is 1108440.

It is a perfect power (a square), and thus also a powerful number.

1228639233600 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 6 + 3 + 9 + 2 + 33 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 442310124096 + 786329109504 = 665064^2 + 886752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 399036861 + ... + 399039939.

Almost surely, 2^{1228639233600} is an apocalyptic number.

1228639233600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1228639233600 is the 1108440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228639233600

1228639233600 is an abundant number, since it is smaller than the sum of its proper divisors (3288996774417).

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

1228639233600 is an frugal number, since it uses more digits than its factorization.

1228639233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1228639233600 in words is "one trillion, two hundred twenty-eight billion, six hundred thirty-nine million, two hundred thirty-three thousand, six hundred".