1153001363472 has 960 divisors, whose sum is σ = 4345436160000. Its totient is φ = 277262548992.

The previous prime is 1153001363417. The next prime is 1153001363473. The reversal of 1153001363472 is 2743631003511.

1153001363472 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 0 + 0 + 13 + 634 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1153001363473) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 591585154 + ... + 591587102.

It is an arithmetic number, because the mean of its divisors is an integer number (4526496000).

Almost surely, 2^{1153001363472} is an apocalyptic number.

1153001363472 is a gapful number since it is divisible by the number (12) 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 1153001363472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172718080000).

1153001363472 is an abundant number, since it is smaller than the sum of its proper divisors (3192434796528).

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

1153001363472 is a wasteful number, since it uses less digits than its factorization.

1153001363472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 1153001363472 its reverse (2743631003511), we get a palindrome (3896632366983).

The spelling of 1153001363472 in words is "one trillion, one hundred fifty-three billion, one million, three hundred sixty-three thousand, four hundred seventy-two".