45101472 has 96 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 13655040.

The previous prime is 45101471. The next prime is 45101473. The reversal of 45101472 is 27410154.

It is an interprime number because it is at equal distance from previous prime (45101471) and next prime (45101473).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (45101471) 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, 88354 + ... + 88862.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^45101472 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 45101472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

45101472 is an abundant number, since it is smaller than the sum of its proper divisors (84446688).

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

45101472 is a wasteful number, since it uses less digits than its factorization.

45101472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 45101472 is about 6715.7629499559. The cubic root of 45101472 is about 355.9564816560.

The spelling of 45101472 in words is "forty-five million, one hundred one thousand, four hundred seventy-two".