45351216 has 60 divisors (see below), whose sum is σ = 132448368. Its totient is φ = 14458752.

The previous prime is 45351211. The next prime is 45351221. The reversal of 45351216 is 61215354.

45351216 is a `hidden beast` number, since 4 + 535 + 121 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (45351211) and next prime (45351221).

It is a self number, because there is not a number n which added to its sum of digits gives 45351216.

It is not an unprimeable number, because it can be changed into a prime (45351211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3535 + ... + 10158.

Almost surely, 2^45351216 is an apocalyptic number.

45351216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

45351216 is an abundant number, since it is smaller than the sum of its proper divisors (87097152).

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

45351216 is a wasteful number, since it uses less digits than its factorization.

45351216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13730 (or 13721 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 45351216 is about 6734.3311471890. The cubic root of 45351216 is about 356.6122947756.

The spelling of 45351216 in words is "forty-five million, three hundred fifty-one thousand, two hundred sixteen".