45754178688 has 288 divisors, whose sum is σ = 139848618780. Its totient is φ = 14347653120.

The previous prime is 45754178677. The next prime is 45754178689. The reversal of 45754178688 is 88687145754.

It is a happy number.

45754178688 is a `hidden beast` number, since 4 + 5 + 7 + 541 + 7 + 8 + 6 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45594206784 + 159971904 = 213528^2 + 12648^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (45754178689) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40961106 + ... + 40962222.

Almost surely, 2^45754178688 is an apocalyptic number.

45754178688 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 45754178688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69924309390).

45754178688 is an abundant number, since it is smaller than the sum of its proper divisors (94094440092).

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

45754178688 is a wasteful number, since it uses less digits than its factorization.

45754178688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1190 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 63.

The spelling of 45754178688 in words is "forty-five billion, seven hundred fifty-four million, one hundred seventy-eight thousand, six hundred eighty-eight".