107214262848 has 1344 divisors, whose sum is σ = 435868876800. Its totient is φ = 25181798400.

The previous prime is 107214262843. The next prime is 107214262849. The reversal of 107214262848 is 848262412701.

107214262848 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 14 + 2 + 628 + 4 + 8 = 666.

107214262848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×107214262848² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107214262843) 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 191 ways as a sum of consecutive naturals, for example, 771325563 + ... + 771325701.

It is an arithmetic number, because the mean of its divisors is an integer number (324307200).

Almost surely, 2^107214262848 is an apocalyptic number.

107214262848 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 107214262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217934438400).

107214262848 is an abundant number, since it is smaller than the sum of its proper divisors (328654613952).

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

107214262848 is a wasteful number, since it uses less digits than its factorization.

107214262848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 107214262848 in words is "one hundred seven billion, two hundred fourteen million, two hundred sixty-two thousand, eight hundred forty-eight".