101868114348 has 384 divisors, whose sum is σ = 357202944000. Its totient is φ = 24244634880.

The previous prime is 101868114343. The next prime is 101868114349. The reversal of 101868114348 is 843411868101.

101868114348 is a `hidden beast` number, since 10 + 186 + 8 + 114 + 348 = 666.

It is a super-2 number, since 2×101868114348² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101868114343) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 15023623 + ... + 15030401.

It is an arithmetic number, because the mean of its divisors is an integer number (930216000).

Almost surely, 2^101868114348 is an apocalyptic number.

101868114348 is a gapful number since it is divisible by the number (18) 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 101868114348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178601472000).

101868114348 is an abundant number, since it is smaller than the sum of its proper divisors (255334829652).

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

101868114348 is a wasteful number, since it uses less digits than its factorization.

101868114348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 101868114348 in words is "one hundred one billion, eight hundred sixty-eight million, one hundred fourteen thousand, three hundred forty-eight".