45916556 has 96 divisors (see below), whose sum is σ = 102961152. Its totient is φ = 17487360.

The previous prime is 45916553. The next prime is 45916567. The reversal of 45916556 is 65561954.

It is a super-3 number, since 3×45916556³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (45916553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976925 + ... + 976971.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 2^45916556 is an apocalyptic number.

45916556 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45916556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480576).

45916556 is an abundant number, since it is smaller than the sum of its proper divisors (57044596).

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

45916556 is a wasteful number, since it uses less digits than its factorization.

45916556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its digits is 162000, while the sum is 41.

The square root of 45916556 is about 6776.1756175589. The cubic root of 45916556 is about 358.0880010041.

The spelling of 45916556 in words is "forty-five million, nine hundred sixteen thousand, five hundred fifty-six".