45825541076 has 72 divisors (see below), whose sum is σ = 94716905472. Its totient is φ = 19339320000.

The previous prime is 45825541031. The next prime is 45825541171. The reversal of 45825541076 is 67014552854.

45825541076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45825541076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16015886 + ... + 16018746.

It is an arithmetic number, because the mean of its divisors is an integer number (1315512576).

Almost surely, 2^45825541076 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 45825541076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47358452736).

45825541076 is an abundant number, since it is smaller than the sum of its proper divisors (48891364396).

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

45825541076 is a wasteful number, since it uses less digits than its factorization.

45825541076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 47.

The spelling of 45825541076 in words is "forty-five billion, eight hundred twenty-five million, five hundred forty-one thousand, seventy-six".