45465678480 has 320 divisors, whose sum is σ = 148490496000. Its totient is φ = 11496984576.

The previous prime is 45465678473. The next prime is 45465678491. The reversal of 45465678480 is 8487656454.

45465678480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45465678480² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45465678480.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54189901 + ... + 54190739.

It is an arithmetic number, because the mean of its divisors is an integer number (464032800).

Almost surely, 2^45465678480 is an apocalyptic number.

45465678480 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 45465678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248000).

45465678480 is an abundant number, since it is smaller than the sum of its proper divisors (103024817520).

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

45465678480 is a wasteful number, since it uses less digits than its factorization.

45465678480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 45465678480 in words is "forty-five billion, four hundred sixty-five million, six hundred seventy-eight thousand, four hundred eighty".