45884700748854 has 96 divisors (see below), whose sum is σ = 108788107428000. Its totient is φ = 13861732884480.

The previous prime is 45884700748847. The next prime is 45884700748871.

45884700748854 is a `hidden beast` number, since 4 + 5 + 8 + 8 + 470 + 0 + 74 + 8 + 85 + 4 = 666.

45884700748854 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344959792 + ... + 345092780.

It is an arithmetic number, because the mean of its divisors is an integer number (1133209452375).

Almost surely, 2^{45884700748854} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45884700748854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54394053714000).

45884700748854 is an abundant number, since it is smaller than the sum of its proper divisors (62903406679146).

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

45884700748854 is a wasteful number, since it uses less digits than its factorization.

45884700748854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138350 (or 138347 counting only the distinct ones).

The product of its (nonzero) digits is 1284505600, while the sum is 72.

The spelling of 45884700748854 in words is "forty-five trillion, eight hundred eighty-four billion, seven hundred million, seven hundred forty-eight thousand, eight hundred fifty-four".