11545418481030 has 384 divisors, whose sum is σ = 38545839940608. Its totient is φ = 2425956728832.

The previous prime is 11545418481011. The next prime is 11545418481031. The reversal of 11545418481030 is 3018481454511.

It is a happy number.

11545418481030 is a `hidden beast` number, since 1 + 1 + 5 + 454 + 184 + 8 + 10 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11545418481031) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11970054 + ... + 12898566.

It is an arithmetic number, because the mean of its divisors is an integer number (100379791512).

Almost surely, 2^{11545418481030} is an apocalyptic number.

11545418481030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11545418481030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19272919970304).

11545418481030 is an abundant number, since it is smaller than the sum of its proper divisors (27000421459578).

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

11545418481030 is a wasteful number, since it uses less digits than its factorization.

11545418481030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928602 (or 928590 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 11545418481030 in words is "eleven trillion, five hundred forty-five billion, four hundred eighteen million, four hundred eighty-one thousand, thirty".