45551616 has 104 divisors (see below), whose sum is σ = 132890784. Its totient is φ = 13762560.

The previous prime is 45551609. The next prime is 45551621. The reversal of 45551616 is 61615554.

It is a super-2 number, since 2×45551616² = 4149899440422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (18000) is a multiple of the sum of its prime factors (375).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135000 + ... + 135336.

It is an arithmetic number, because the mean of its divisors is an integer number (1277796).

Almost surely, 2^45551616 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 45551616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66445392).

45551616 is an abundant number, since it is smaller than the sum of its proper divisors (87339168).

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

45551616 is a wasteful number, since it uses less digits than its factorization.

45551616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 353 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The square root of 45551616 is about 6749.1937296243. The cubic root of 45551616 is about 357.1367944723.

The spelling of 45551616 in words is "forty-five million, five hundred fifty-one thousand, six hundred sixteen".