45054351175680 has 624 divisors, whose sum is σ = 194704707285504. Its totient is φ = 9361940152320.

The previous prime is 45054351175661. The next prime is 45054351175697. The reversal of 45054351175680 is 8657115345054.

45054351175680 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 43 + 511 + 7 + 5 + 6 + 80 = 666.

It is a super-2 number, since 2×45054351175680² (a number of 28 digits) contains 22 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, 12605397 + ... + 15779883.

It is an arithmetic number, because the mean of its divisors is an integer number (312026774496).

Almost surely, 2^{45054351175680} is an apocalyptic number.

45054351175680 is a gapful number since it is divisible by the number (40) 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 45054351175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97352353642752).

45054351175680 is an abundant number, since it is smaller than the sum of its proper divisors (149650356109824).

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

45054351175680 is a wasteful number, since it uses less digits than its factorization.

45054351175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174540 (or 3174515 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 45054351175680 in words is "forty-five trillion, fifty-four billion, three hundred fifty-one million, one hundred seventy-five thousand, six hundred eighty".