45075136512 has 336 divisors, whose sum is σ = 144955077120. Its totient is φ = 12180258816.

The previous prime is 45075136481. The next prime is 45075136517. The reversal of 45075136512 is 21563157054.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×45075136512² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45075136517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506462164 + ... + 506462252.

It is an arithmetic number, because the mean of its divisors is an integer number (431413920).

Almost surely, 2^45075136512 is an apocalyptic number.

45075136512 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 45075136512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72477538560).

45075136512 is an abundant number, since it is smaller than the sum of its proper divisors (99879940608).

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

45075136512 is an frugal number, since it uses more digits than its factorization.

45075136512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 45075136512 in words is "forty-five billion, seventy-five million, one hundred thirty-six thousand, five hundred twelve".