45045045004860 has 192 divisors, whose sum is σ = 143936023526400. Its totient is φ = 11686688066304.

The previous prime is 45045045004847. The next prime is 45045045004867. The reversal of 45045045004860 is 6840054054054.

It is a happy number.

45045045004860 is a `hidden beast` number, since 4 + 5 + 0 + 45 + 0 + 4 + 500 + 48 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45045045004867) 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, 410793921 + ... + 410903559.

It is an arithmetic number, because the mean of its divisors is an integer number (749666789200).

Almost surely, 2^{45045045004860} 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 45045045004860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71968011763200).

45045045004860 is an abundant number, since it is smaller than the sum of its proper divisors (98890978521540).

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

45045045004860 is a wasteful number, since it uses less digits than its factorization.

45045045004860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130257 (or 130249 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 45045045004860 in words is "forty-five trillion, forty-five billion, forty-five million, four thousand, eight hundred sixty".