45886628032 has 168 divisors, whose sum is σ = 111747072416. Its totient is φ = 18298773504.

The previous prime is 45886628027. The next prime is 45886628033. The reversal of 45886628032 is 23082668854.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45886628033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8766088 + ... + 8771320.

Almost surely, 2^45886628032 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 45886628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55873536208).

45886628032 is an abundant number, since it is smaller than the sum of its proper divisors (65860444384).

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

45886628032 is a wasteful number, since it uses less digits than its factorization.

45886628032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 45886628032 in words is "forty-five billion, eight hundred eighty-six million, six hundred twenty-eight thousand, thirty-two".