45454956768 has 288 divisors, whose sum is σ = 145054990080. Its totient is φ = 13407068160.

The previous prime is 45454956713. The next prime is 45454956821. The reversal of 45454956768 is 86765945454.

45454956768 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 4 + 9 + 567 + 68 = 666.

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

It is a super-4 number, since 4×45454956768⁴ (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12649180 + ... + 12652772.

It is an arithmetic number, because the mean of its divisors is an integer number (503663160).

Almost surely, 2^45454956768 is an apocalyptic number.

45454956768 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 45454956768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72527495040).

45454956768 is an abundant number, since it is smaller than the sum of its proper divisors (99600033312).

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

45454956768 is a wasteful number, since it uses less digits than its factorization.

45454956768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3751 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 45454956768 in words is "forty-five billion, four hundred fifty-four million, nine hundred fifty-six thousand, seven hundred sixty-eight".