45811680 has 48 divisors (see below), whose sum is σ = 144308304. Its totient is φ = 12216320.

The previous prime is 45811673. The next prime is 45811691. The reversal of 45811680 is 8611854.

45811680 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 (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 47241 + ... + 48200.

It is an arithmetic number, because the mean of its divisors is an integer number (3006423).

Almost surely, 2^45811680 is an apocalyptic number.

45811680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45811680 is an abundant number, since it is smaller than the sum of its proper divisors (98496624).

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

45811680 is a wasteful number, since it uses less digits than its factorization.

45811680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95459 (or 95451 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 45811680 is about 6768.4326102873. The cubic root of 45811680 is about 357.8151621180.

The spelling of 45811680 in words is "forty-five million, eight hundred eleven thousand, six hundred eighty".