45416088328 has 64 divisors (see below), whose sum is σ = 95792336640. Its totient is φ = 20029050624.

The previous prime is 45416088301. The next prime is 45416088359. The reversal of 45416088328 is 82388061454.

It is a super-3 number, since 3×45416088328³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2413725 + ... + 2432467.

It is an arithmetic number, because the mean of its divisors is an integer number (1496755260).

Almost surely, 2^45416088328 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 45416088328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47896168320).

45416088328 is an abundant number, since it is smaller than the sum of its proper divisors (50376248312).

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

45416088328 is a wasteful number, since it uses less digits than its factorization.

45416088328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19798 (or 19794 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 45416088328 in words is "forty-five billion, four hundred sixteen million, eighty-eight thousand, three hundred twenty-eight".