45732754368 has 336 divisors, whose sum is σ = 158462187520. Its totient is φ = 12318676992.

The previous prime is 45732754367. The next prime is 45732754423. The reversal of 45732754368 is 86345723754.

It is a happy number.

45732754368 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 275 + 4 + 368 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45732754363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17082246 + ... + 17084922.

Almost surely, 2^45732754368 is an apocalyptic number.

45732754368 is a gapful number since it is divisible by the number (48) 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 45732754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79231093760).

45732754368 is an abundant number, since it is smaller than the sum of its proper divisors (112729433152).

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

45732754368 is a wasteful number, since it uses less digits than its factorization.

45732754368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2931 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 45732754368 in words is "forty-five billion, seven hundred thirty-two million, seven hundred fifty-four thousand, three hundred sixty-eight".