4658071141152 has 2304 divisors, whose sum is σ = 18279939686400. Its totient is φ = 1142624102400.

The previous prime is 4658071141117. The next prime is 4658071141189. The reversal of 4658071141152 is 2511411708564.

It is a happy number.

4658071141152 is a `hidden beast` number, since 4 + 6 + 580 + 7 + 1 + 1 + 4 + 11 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4658071141098 and 4658071141107.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 150260359377 + ... + 150260359407.

It is an arithmetic number, because the mean of its divisors is an integer number (7934001600).

Almost surely, 2^{4658071141152} 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 4658071141152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9139969843200).

4658071141152 is an abundant number, since it is smaller than the sum of its proper divisors (13621868545248).

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

4658071141152 is a wasteful number, since it uses less digits than its factorization.

4658071141152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 4658071141152 in words is "four trillion, six hundred fifty-eight billion, seventy-one million, one hundred forty-one thousand, one hundred fifty-two".