45941544 has 192 divisors, whose sum is σ = 148262400. Its totient is φ = 12700800.

The previous prime is 45941543. The next prime is 45941549. The reversal of 45941544 is 44514954.

It is a super-2 number, since 2×45941544² = 4221250930207872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45941499 and 45941508.

It is not an unprimeable number, because it can be changed into a prime (45941543) by changing a digit.

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, 647029 + ... + 647099.

It is an arithmetic number, because the mean of its divisors is an integer number (772200).

Almost surely, 2^45941544 is an apocalyptic number.

45941544 is a gapful number since it is divisible by the number (44) 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 45941544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74131200).

45941544 is an abundant number, since it is smaller than the sum of its proper divisors (102320856).

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

45941544 is a wasteful number, since it uses less digits than its factorization.

45941544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 45941544 is about 6778.0191796719. The cubic root of 45941544 is about 358.1529469341.

The spelling of 45941544 in words is "forty-five million, nine hundred forty-one thousand, five hundred forty-four".