11545309440 has 648 divisors, whose sum is σ = 47137505688. Its totient is φ = 2601123840.

The previous prime is 11545309429. The next prime is 11545309441. The reversal of 11545309440 is 4490354511.

It is a happy number.

11545309440 is a `hidden beast` number, since 115 + 4 + 530 + 9 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1316818944 + 10228490496 = 36288^2 + 101136^2 .

It is a super-2 number, since 2×11545309440² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11545309395 and 11545309404.

It is not an unprimeable number, because it can be changed into a prime (11545309441) 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, 63786150 + ... + 63786330.

Almost surely, 2^11545309440 is an apocalyptic number.

11545309440 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 11545309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23568752844).

11545309440 is an abundant number, since it is smaller than the sum of its proper divisors (35592196248).

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

11545309440 is a wasteful number, since it uses less digits than its factorization.

11545309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11545309440 in words is "eleven billion, five hundred forty-five million, three hundred nine thousand, four hundred forty".