11245640712544 has 96 divisors (see below), whose sum is σ = 26643065702400. Its totient is φ = 4564415784960.

The previous prime is 11245640712539. The next prime is 11245640712599. The reversal of 11245640712544 is 44521704654211.

It is a junction number, because it is equal to n+sod(n) for n = 11245640712494 and 11245640712503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12719089 + ... + 13574479.

It is an arithmetic number, because the mean of its divisors is an integer number (277531934400).

Almost surely, 2^{11245640712544} is an apocalyptic number.

11245640712544 is a gapful number since it is divisible by the number (14) 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 11245640712544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13321532851200).

11245640712544 is an abundant number, since it is smaller than the sum of its proper divisors (15397424989856).

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

11245640712544 is a wasteful number, since it uses less digits than its factorization.

11245640712544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858516 (or 858508 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 11245640712544 in words is "eleven trillion, two hundred forty-five billion, six hundred forty million, seven hundred twelve thousand, five hundred forty-four".