45741696 has 384 divisors, whose sum is σ = 175815360. Its totient is φ = 10321920.

The previous prime is 45741677. The next prime is 45741767. The reversal of 45741696 is 69614754.

45741696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (181440) is a multiple of the sum of its prime factors (72).

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 47 ways as a sum of consecutive naturals, for example, 2690680 + ... + 2690696.

Almost surely, 2^45741696 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 45741696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

45741696 is an abundant number, since it is smaller than the sum of its proper divisors (130073664).

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

45741696 is a wasteful number, since it uses less digits than its factorization.

45741696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 45741696 is about 6763.2607520337. The cubic root of 45741696 is about 357.6328643679.

The spelling of 45741696 in words is "forty-five million, seven hundred forty-one thousand, six hundred ninety-six".