45988580352 has 528 divisors, whose sum is σ = 150265127936. Its totient is φ = 12408422400.

The previous prime is 45988580347. The next prime is 45988580371. The reversal of 45988580352 is 25308588954.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×45988580352² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45988580292 and 45988580301.

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 47 ways as a sum of consecutive naturals, for example, 149799783 + ... + 149800089.

Almost surely, 2^45988580352 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 45988580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75132563968).

45988580352 is an abundant number, since it is smaller than the sum of its proper divisors (104276547584).

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

45988580352 is a wasteful number, since it uses less digits than its factorization.

45988580352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 57.

The spelling of 45988580352 in words is "forty-five billion, nine hundred eighty-eight million, five hundred eighty thousand, three hundred fifty-two".