45362016 has 72 divisors (see below), whose sum is σ = 147433104. Its totient is φ = 12960000.

The previous prime is 45361997. The next prime is 45362041. The reversal of 45362016 is 61026354.

45362016 is a `hidden beast` number, since 453 + 6 + 201 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9235 + ... + 13266.

It is an arithmetic number, because the mean of its divisors is an integer number (2047682).

Almost surely, 2^45362016 is an apocalyptic number.

It is an amenable number.

45362016 is an abundant number, since it is smaller than the sum of its proper divisors (102071088).

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

45362016 is a wasteful number, since it uses less digits than its factorization.

45362016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22524 (or 22513 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45362016 is about 6735.1329608256. The cubic root of 45362016 is about 356.6406005737.

It can be divided in two parts, 4536 and 2016, that multiplied together give a square (9144576 = 3024²).

The spelling of 45362016 in words is "forty-five million, three hundred sixty-two thousand, sixteen".