45965556 has 120 divisors (see below), whose sum is σ = 147987840. Its totient is φ = 12115008.

The previous prime is 45965539. The next prime is 45965587. The reversal of 45965556 is 65556954.

45965556 is a `hidden beast` number, since 4 + 5 + 96 + 5 + 556 = 666.

It is a super-2 number, since 2×45965556² = 4225664676778272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28705 + ... + 30263.

It is an arithmetic number, because the mean of its divisors is an integer number (1233232).

Almost surely, 2^45965556 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 45965556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73993920).

45965556 is an abundant number, since it is smaller than the sum of its proper divisors (102022284).

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

45965556 is a wasteful number, since it uses less digits than its factorization.

45965556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1584 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The square root of 45965556 is about 6779.7902622426. The cubic root of 45965556 is about 358.2153339732.

The spelling of 45965556 in words is "forty-five million, nine hundred sixty-five thousand, five hundred fifty-six".