1153038480048 has 720 divisors, whose sum is σ = 4505686305120. Its totient is φ = 271139291136.

The previous prime is 1153038480019. The next prime is 1153038480053. The reversal of 1153038480048 is 8400848303511.

1153038480048 is a `hidden beast` number, since 1 + 1 + 530 + 38 + 4 + 80 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1153038479985 and 1153038480012.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29608686 + ... + 29647602.

It is an arithmetic number, because the mean of its divisors is an integer number (6257897646).

Almost surely, 2^{1153038480048} is an apocalyptic number.

1153038480048 is a gapful number since it is divisible by the number (18) 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 1153038480048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252843152560).

1153038480048 is an abundant number, since it is smaller than the sum of its proper divisors (3352647825072).

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

1153038480048 is a wasteful number, since it uses less digits than its factorization.

1153038480048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38994 (or 38978 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1153038480048 in words is "one trillion, one hundred fifty-three billion, thirty-eight million, four hundred eighty thousand, forty-eight".