66114110400 has 336 divisors, whose sum is σ = 238575396864. Its totient is φ = 15927275520.

The previous prime is 66114110383. The next prime is 66114110411. The reversal of 66114110400 is 401141166.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2921529 + ... + 2944071.

It is an arithmetic number, because the mean of its divisors is an integer number (710045824).

Almost surely, 2^66114110400 is an apocalyptic number.

66114110400 is a gapful number since it is divisible by the number (60) 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 66114110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119287698432).

66114110400 is an abundant number, since it is smaller than the sum of its proper divisors (172461286464).

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

66114110400 is a wasteful number, since it uses less digits than its factorization.

66114110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22628 (or 22613 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 66114110400 its reverse (401141166), we get a palindrome (66515251566).

The spelling of 66114110400 in words is "sixty-six billion, one hundred fourteen million, one hundred ten thousand, four hundred".