8523113414400 has 1728 divisors, whose sum is σ = 35195427348480. Its totient is φ = 2028976128000.

The previous prime is 8523113414359. The next prime is 8523113414411. The reversal of 8523113414400 is 44143113258.

8523113414400 is a `hidden beast` number, since 8 + 5 + 231 + 1 + 3 + 4 + 14 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×8523113414400² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5640709645 + ... + 5640711155.

It is an arithmetic number, because the mean of its divisors is an integer number (20367724160).

Almost surely, 2^{8523113414400} is an apocalyptic number.

8523113414400 is a gapful number since it is divisible by the number (80) 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 8523113414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17597713674240).

8523113414400 is an abundant number, since it is smaller than the sum of its proper divisors (26672313934080).

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

8523113414400 is a wasteful number, since it uses less digits than its factorization.

8523113414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1565 counting only the distinct ones).

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

Adding to 8523113414400 its reverse (44143113258), we get a palindrome (8567256527658).

The spelling of 8523113414400 in words is "eight trillion, five hundred twenty-three billion, one hundred thirteen million, four hundred fourteen thousand, four hundred".