11545334150400 has 324 divisors, whose sum is σ = 41424127240860. Its totient is φ = 3067795046400.

The previous prime is 11545334150369. The next prime is 11545334150411. The reversal of 11545334150400 is 405143354511.

11545334150400 is a `hidden beast` number, since 1 + 1 + 54 + 53 + 3 + 4 + 150 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 78929531136 + 11466404619264 = 280944^2 + 3386208^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15828946 + ... + 16542254.

Almost surely, 2^{11545334150400} is an apocalyptic number.

11545334150400 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 11545334150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20712063620430).

11545334150400 is an abundant number, since it is smaller than the sum of its proper divisors (29878793090460).

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

11545334150400 is a wasteful number, since it uses less digits than its factorization.

11545334150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713622 (or 713600 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 11545334150400 in words is "eleven trillion, five hundred forty-five billion, three hundred thirty-four million, one hundred fifty thousand, four hundred".