4700603142144 has 2496 divisors, whose sum is σ = 19033105612800. Its totient is φ = 1117952409600.

The previous prime is 4700603142139. The next prime is 4700603142161. The reversal of 4700603142144 is 4412413060074.

4700603142144 is a `hidden beast` number, since 4 + 7 + 0 + 0 + 603 + 1 + 4 + 2 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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 = 4700603142099 and 4700603142108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77059067874 + ... + 77059067934.

Almost surely, 2^{4700603142144} 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 4700603142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516552806400).

4700603142144 is an abundant number, since it is smaller than the sum of its proper divisors (14332502470656).

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

4700603142144 is a wasteful number, since it uses less digits than its factorization.

4700603142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 4700603142144 in words is "four trillion, seven hundred billion, six hundred three million, one hundred forty-two thousand, one hundred forty-four".