45936419088 has 160 divisors (see below), whose sum is σ = 139158553600. Its totient is φ = 12784117248.

The previous prime is 45936419027. The next prime is 45936419143. The reversal of 45936419088 is 88091463954.

It is a super-2 number, since 2×45936419088² (a number of 22 digits) contains 22 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 31 ways as a sum of consecutive naturals, for example, 5471598 + ... + 5479986.

It is an arithmetic number, because the mean of its divisors is an integer number (869740960).

Almost surely, 2^45936419088 is an apocalyptic number.

45936419088 is a gapful number since it is divisible by the number (48) 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 45936419088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69579276800).

45936419088 is an abundant number, since it is smaller than the sum of its proper divisors (93222134512).

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

45936419088 is a wasteful number, since it uses less digits than its factorization.

45936419088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8829 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 45936419088 in words is "forty-five billion, nine hundred thirty-six million, four hundred nineteen thousand, eighty-eight".