45087844878054 has 288 divisors, whose sum is σ = 113962390214400. Its totient is φ = 12837490934400.

The previous prime is 45087844877963. The next prime is 45087844878119.

45087844878054 is a `hidden beast` number, since 4 + 50 + 8 + 7 + 8 + 448 + 7 + 80 + 54 = 666.

45087844878054 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 143 ways as a sum of consecutive naturals, for example, 2999649519 + ... + 2999664549.

It is an arithmetic number, because the mean of its divisors is an integer number (395702743800).

Almost surely, 2^{45087844878054} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45087844878054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56981195107200).

45087844878054 is an abundant number, since it is smaller than the sum of its proper divisors (68874545336346).

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

45087844878054 is a wasteful number, since it uses less digits than its factorization.

45087844878054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15672 (or 15658 counting only the distinct ones).

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

The spelling of 45087844878054 in words is "forty-five trillion, eighty-seven billion, eight hundred forty-four million, eight hundred seventy-eight thousand, fifty-four".