45909550512 has 120 divisors (see below), whose sum is σ = 146955594240. Its totient is φ = 13106482560.

The previous prime is 45909550507. The next prime is 45909550513. The reversal of 45909550512 is 21505590954.

45909550512 is a `hidden beast` number, since 4 + 5 + 90 + 9 + 550 + 5 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (45909550513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1283689 + ... + 1318967.

It is an arithmetic number, because the mean of its divisors is an integer number (1224629952).

Almost surely, 2^45909550512 is an apocalyptic number.

45909550512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45909550512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73477797120).

45909550512 is an abundant number, since it is smaller than the sum of its proper divisors (101046043728).

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

45909550512 is a wasteful number, since it uses less digits than its factorization.

45909550512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36591 (or 36582 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 45909550512 in words is "forty-five billion, nine hundred nine million, five hundred fifty thousand, five hundred twelve".