4625692571136 has 1280 divisors, whose sum is σ = 17492180428800. Its totient is φ = 1049962217472.

The previous prime is 4625692571131. The next prime is 4625692571141. The reversal of 4625692571136 is 6311752965264.

It is an interprime number because it is at equal distance from previous prime (4625692571131) and next prime (4625692571141).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4625692571131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1309280026 + ... + 1309283558.

It is an arithmetic number, because the mean of its divisors is an integer number (13665765960).

Almost surely, 2^{4625692571136} 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 4625692571136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8746090214400).

4625692571136 is an abundant number, since it is smaller than the sum of its proper divisors (12866487857664).

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

4625692571136 is a wasteful number, since it uses less digits than its factorization.

4625692571136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3623 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 57.

The spelling of 4625692571136 in words is "four trillion, six hundred twenty-five billion, six hundred ninety-two million, five hundred seventy-one thousand, one hundred thirty-six".