1228615738560 has 1344 divisors, whose sum is σ = 5302337863680. Its totient is φ = 254794014720.

The previous prime is 1228615738531. The next prime is 1228615738577. The reversal of 1228615738560 is 658375168221.

1228615738560 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 6 + 1 + 5 + 73 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 1228615738497 and 1228615738506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1270543197 + ... + 1270544163.

Almost surely, 2^{1228615738560} is an apocalyptic number.

1228615738560 is a gapful number since it is divisible by the number (10) 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 1228615738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651168931840).

1228615738560 is an abundant number, since it is smaller than the sum of its proper divisors (4073722125120).

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

1228615738560 is a wasteful number, since it uses less digits than its factorization.

1228615738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1228615738560 in words is "one trillion, two hundred twenty-eight billion, six hundred fifteen million, seven hundred thirty-eight thousand, five hundred sixty".