45248855884254 has 96 divisors (see below), whose sum is σ = 108014511852000. Its totient is φ = 13575796039680.

The previous prime is 45248855884217. The next prime is 45248855884259.

45248855884254 is a `hidden beast` number, since 4 + 5 + 2 + 48 + 8 + 558 + 8 + 4 + 25 + 4 = 666.

45248855884254 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45248855884259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19696972 + ... + 21873920.

It is an arithmetic number, because the mean of its divisors is an integer number (1125151165125).

Almost surely, 2^{45248855884254} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45248855884254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54007255926000).

45248855884254 is an abundant number, since it is smaller than the sum of its proper divisors (62765655967746).

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

45248855884254 is a wasteful number, since it uses less digits than its factorization.

45248855884254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178010 (or 2178007 counting only the distinct ones).

The product of its digits is 2621440000, while the sum is 72.

The spelling of 45248855884254 in words is "forty-five trillion, two hundred forty-eight billion, eight hundred fifty-five million, eight hundred eighty-four thousand, two hundred fifty-four".