11456253146250 has 480 divisors, whose sum is σ = 34068386626560. Its totient is φ = 2758381200000.

The previous prime is 11456253146213. The next prime is 11456253146251. The reversal of 11456253146250 is 5264135265411.

11456253146250 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 6 + 2 + 5 + 3 + 14 + 625 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11456253146196 and 11456253146205.

It is not an unprimeable number, because it can be changed into a prime (11456253146251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18507678441 + ... + 18507679059.

It is an arithmetic number, because the mean of its divisors is an integer number (70975805472).

Almost surely, 2^{11456253146250} is an apocalyptic number.

11456253146250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11456253146250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034193313280).

11456253146250 is an abundant number, since it is smaller than the sum of its proper divisors (22612133480310).

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

11456253146250 is a wasteful number, since it uses less digits than its factorization.

11456253146250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 11456253146250 in words is "eleven trillion, four hundred fifty-six billion, two hundred fifty-three million, one hundred forty-six thousand, two hundred fifty".