45458552832 has 768 divisors, whose sum is σ = 161336448000. Its totient is φ = 11271536640.

The previous prime is 45458552813. The next prime is 45458552851. The reversal of 45458552832 is 23825585454.

It is an interprime number because it is at equal distance from previous prime (45458552813) and next prime (45458552851).

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 857708518 + ... + 857708570.

It is an arithmetic number, because the mean of its divisors is an integer number (210073500).

Almost surely, 2^45458552832 is an apocalyptic number.

45458552832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45458552832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224000).

45458552832 is an abundant number, since it is smaller than the sum of its proper divisors (115877895168).

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

45458552832 is a wasteful number, since it uses less digits than its factorization.

45458552832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its digits is 7680000, while the sum is 51.

The spelling of 45458552832 in words is "forty-five billion, four hundred fifty-eight million, five hundred fifty-two thousand, eight hundred thirty-two".