11532114323400 has 384 divisors, whose sum is σ = 40912602854400. Its totient is φ = 2661240960000.

The previous prime is 11532114323351. The next prime is 11532114323453. The reversal of 11532114323400 is 432341123511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13165095 + ... + 14013705.

It is an arithmetic number, because the mean of its divisors is an integer number (106543236600).

Almost surely, 2^{11532114323400} is an apocalyptic number.

11532114323400 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 11532114323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20456301427200).

11532114323400 is an abundant number, since it is smaller than the sum of its proper divisors (29380488531000).

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

11532114323400 is a wasteful number, since it uses less digits than its factorization.

11532114323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848741 (or 848732 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 11532114323400 its reverse (432341123511), we get a palindrome (11964455446911).

The spelling of 11532114323400 in words is "eleven trillion, five hundred thirty-two billion, one hundred fourteen million, three hundred twenty-three thousand, four hundred".