45303108295680 has 440 divisors, whose sum is σ = 162501555656880. Its totient is φ = 12068860723200.

The previous prime is 45303108295661. The next prime is 45303108295703. The reversal of 45303108295680 is 8659280130354.

45303108295680 is a `hidden beast` number, since 4 + 5 + 30 + 310 + 8 + 295 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×45303108295680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 422546080 + ... + 422653280.

It is an arithmetic number, because the mean of its divisors is an integer number (369321717402).

Almost surely, 2^{45303108295680} is an apocalyptic number.

45303108295680 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 45303108295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81250777828440).

45303108295680 is an abundant number, since it is smaller than the sum of its proper divisors (117198447361200).

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

45303108295680 is a wasteful number, since it uses less digits than its factorization.

45303108295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108257 (or 108230 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 45303108295680 in words is "forty-five trillion, three hundred three billion, one hundred eight million, two hundred ninety-five thousand, six hundred eighty".