11251457745 has 32 divisors (see below), whose sum is σ = 20492780544. Its totient is φ = 5218065600.

The previous prime is 11251457713. The next prime is 11251457797. The reversal of 11251457745 is 54775415211.

It is not a de Polignac number, because 11251457745 - 2⁵ = 11251457713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11251457697 and 11251457706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1478611 + ... + 1486200.

It is an arithmetic number, because the mean of its divisors is an integer number (640399392).

Almost surely, 2^11251457745 is an apocalyptic number.

11251457745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11251457745 is a deficient number, since it is larger than the sum of its proper divisors (9241322799).

11251457745 is a wasteful number, since it uses less digits than its factorization.

11251457745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964853.

The product of its digits is 196000, while the sum is 42.

It can be divided in two parts, 11251 and 457745, that added together give a triangular number (468996 = T₉₆₈).

The spelling of 11251457745 in words is "eleven billion, two hundred fifty-one million, four hundred fifty-seven thousand, seven hundred forty-five".