109812714828480 has 448 divisors, whose sum is σ = 414695688768000. Its totient is φ = 27271951036416.

The previous prime is 109812714828473. The next prime is 109812714828491. The reversal of 109812714828480 is 84828417218901.

109812714828480 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 1 + 2 + 7 + 148 + 2 + 8 + 480 = 666.

It is a super-4 number, since 4×109812714828480⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4016482 + ... + 15354398.

Almost surely, 2^{109812714828480} is an apocalyptic number.

109812714828480 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 109812714828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207347844384000).

109812714828480 is an abundant number, since it is smaller than the sum of its proper divisors (304882973939520).

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

109812714828480 is a wasteful number, since it uses less digits than its factorization.

109812714828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11338021 (or 11338005 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 63.

The spelling of 109812714828480 in words is "one hundred nine trillion, eight hundred twelve billion, seven hundred fourteen million, eight hundred twenty-eight thousand, four hundred eighty".