45411684480 has 448 divisors, whose sum is σ = 164232256320. Its totient is φ = 12001167360.

The previous prime is 45411684473. The next prime is 45411684497. The reversal of 45411684480 is 8448611454.

45411684480 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 168 + 4 + 480 = 666.

It is a super-2 number, since 2×45411684480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 61118989 + ... + 61119731.

Almost surely, 2^45411684480 is an apocalyptic number.

45411684480 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 45411684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82116128160).

45411684480 is an abundant number, since it is smaller than the sum of its proper divisors (118820571840).

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

45411684480 is an equidigital number, since it uses as much as digits as its factorization.

45411684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 45411684480 in words is "forty-five billion, four hundred eleven million, six hundred eighty-four thousand, four hundred eighty".