110542139375616 has 1440 divisors, whose sum is σ = 372848929891200. Its totient is φ = 32307444449280.

The previous prime is 110542139375593. The next prime is 110542139375669. The reversal of 110542139375616 is 616573931245011.

110542139375616 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 4 + 2 + 13 + 9 + 3 + 7 + 5 + 616 = 666.

It is a super-4 number, since 4×110542139375616⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 145259052676 + ... + 145259053436.

It is an arithmetic number, because the mean of its divisors is an integer number (258922867980).

Almost surely, 2^{110542139375616} is an apocalyptic number.

110542139375616 is a gapful number since it is divisible by the number (16) 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 110542139375616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186424464945600).

110542139375616 is an abundant number, since it is smaller than the sum of its proper divisors (262306790515584).

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

110542139375616 is an equidigital number, since it uses as much as digits as its factorization.

110542139375616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 110542139375616 in words is "one hundred ten trillion, five hundred forty-two billion, one hundred thirty-nine million, three hundred seventy-five thousand, six hundred sixteen".