4707122202144 has 288 divisors, whose sum is σ = 13556576792304. Its totient is φ = 1549208125440.

The previous prime is 4707122202109. The next prime is 4707122202197. The reversal of 4707122202144 is 4412022217074.

4707122202144 is a `hidden beast` number, since 470 + 7 + 1 + 22 + 20 + 2 + 144 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 684610617744 + 4022511584400 = 827412^2 + 2005620^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4707122202099 and 4707122202108.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6185442724 + ... + 6185443484.

Almost surely, 2^{4707122202144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4707122202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778288396152).

4707122202144 is an abundant number, since it is smaller than the sum of its proper divisors (8849454590160).

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

4707122202144 is a wasteful number, since it uses less digits than its factorization.

4707122202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 4707122202144 in words is "four trillion, seven hundred seven billion, one hundred twenty-two million, two hundred two thousand, one hundred forty-four".