11445106262400 has 576 divisors, whose sum is σ = 41790299803200. Its totient is φ = 2981174476800.

The previous prime is 11445106262377. The next prime is 11445106262407. The reversal of 11445106262400 is 426260154411.

11445106262400 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 5 + 1 + 0 + 626 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11445106262407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 705217486 + ... + 705233714.

It is an arithmetic number, because the mean of its divisors is an integer number (72552603825).

Almost surely, 2^{11445106262400} is an apocalyptic number.

11445106262400 is a gapful number since it is divisible by the number (10) 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 11445106262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20895149901600).

11445106262400 is an abundant number, since it is smaller than the sum of its proper divisors (30345193540800).

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

11445106262400 is a wasteful number, since it uses less digits than its factorization.

11445106262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16827 (or 16807 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11445106262400 in words is "eleven trillion, four hundred forty-five billion, one hundred six million, two hundred sixty-two thousand, four hundred".