45501874880 has 448 divisors, whose sum is σ = 144033361920. Its totient is φ = 13262745600.

The previous prime is 45501874879. The next prime is 45501874883. The reversal of 45501874880 is 8847810554.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (45501874883) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38856695 + ... + 38857865.

It is an arithmetic number, because the mean of its divisors is an integer number (321503040).

Almost surely, 2^45501874880 is an apocalyptic number.

45501874880 is a gapful number since it is divisible by the number (40) 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 45501874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72016680960).

45501874880 is an abundant number, since it is smaller than the sum of its proper divisors (98531487040).

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

45501874880 is a wasteful number, since it uses less digits than its factorization.

45501874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 50.

The spelling of 45501874880 in words is "forty-five billion, five hundred one million, eight hundred seventy-four thousand, eight hundred eighty".