45505004152410 has 192 divisors, whose sum is σ = 131174433262080. Its totient is φ = 10852550691840.

The previous prime is 45505004152381. The next prime is 45505004152411. The reversal of 45505004152410 is 1425140050554.

45505004152410 is a `hidden beast` number, since 4 + 5 + 50 + 500 + 41 + 52 + 4 + 10 = 666.

It is not an unprimeable number, because it can be changed into a prime (45505004152411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20613934 + ... + 22714406.

It is an arithmetic number, because the mean of its divisors is an integer number (683200173240).

Almost surely, 2^{45505004152410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45505004152410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65587216631040).

45505004152410 is an abundant number, since it is smaller than the sum of its proper divisors (85669429109670).

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

45505004152410 is a wasteful number, since it uses less digits than its factorization.

45505004152410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100853 (or 2100850 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 45505004152410 in words is "forty-five trillion, five hundred five billion, four million, one hundred fifty-two thousand, four hundred ten".