45940047648768 has 3456 divisors, whose sum is σ = 184552542720000. Its totient is φ = 10955933614080.

The previous prime is 45940047648751. The next prime is 45940047648797. The reversal of 45940047648768 is 86784674004954.

45940047648768 is a `hidden beast` number, since 4 + 5 + 9 + 40 + 0 + 47 + 6 + 487 + 68 = 666.

It is a super-2 number, since 2×45940047648768² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 45940047648696 and 45940047648705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 629315721180 + ... + 629315721252.

It is an arithmetic number, because the mean of its divisors is an integer number (53400620000).

Almost surely, 2^{45940047648768} is an apocalyptic number.

45940047648768 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 45940047648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92276271360000).

45940047648768 is an abundant number, since it is smaller than the sum of its proper divisors (138612495071232).

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

45940047648768 is a wasteful number, since it uses less digits than its factorization.

45940047648768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 45940047648768 in words is "forty-five trillion, nine hundred forty billion, forty-seven million, six hundred forty-eight thousand, seven hundred sixty-eight".