45098688 has 112 divisors (see below), whose sum is σ = 129808224. Its totient is φ = 13762560.

The previous prime is 45098687. The next prime is 45098693. The reversal of 45098688 is 88689054.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45098687) 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, 133656 + ... + 133992.

It is an arithmetic number, because the mean of its divisors is an integer number (1159002).

Almost surely, 2^45098688 is an apocalyptic number.

45098688 is a gapful number since it is divisible by the number (48) 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 45098688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64904112).

45098688 is an abundant number, since it is smaller than the sum of its proper divisors (84709536).

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

45098688 is a wasteful number, since it uses less digits than its factorization.

45098688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 45098688 is about 6715.5556732113. Note that the first 3 decimals coincide. The cubic root of 45098688 is about 355.9491574070.

The spelling of 45098688 in words is "forty-five million, ninety-eight thousand, six hundred eighty-eight".