45622656 has 128 divisors (see below), whose sum is σ = 138230400. Its totient is φ = 14805504.

The previous prime is 45622651. The next prime is 45622657. The reversal of 45622656 is 65622654.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45622656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45622651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148455 + ... + 148761.

It is an arithmetic number, because the mean of its divisors is an integer number (1079925).

Almost surely, 2^45622656 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 45622656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69115200).

45622656 is an abundant number, since it is smaller than the sum of its proper divisors (92607744).

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

45622656 is a wasteful number, since it uses less digits than its factorization.

45622656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 355 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 45622656 is about 6754.4545301601. The cubic root of 45622656 is about 357.3223555450.

The spelling of 45622656 in words is "forty-five million, six hundred twenty-two thousand, six hundred fifty-six".