45838146560 has 88 divisors (see below), whose sum is σ = 110071873536. Its totient is φ = 18316247040.

The previous prime is 45838146553. The next prime is 45838146577. The reversal of 45838146560 is 6564183854.

It is a super-2 number, since 2×45838146560² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45838146499 and 45838146508.

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 7 ways as a sum of consecutive naturals, for example, 5592065 + ... + 5600255.

Almost surely, 2^45838146560 is an apocalyptic number.

45838146560 is a gapful number since it is divisible by the number (40) 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 45838146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55035936768).

45838146560 is an abundant number, since it is smaller than the sum of its proper divisors (64233726976).

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

45838146560 is a wasteful number, since it uses less digits than its factorization.

45838146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309 (or 9291 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 50.

The spelling of 45838146560 in words is "forty-five billion, eight hundred thirty-eight million, one hundred forty-six thousand, five hundred sixty".