45816478400 has 1008 divisors, whose sum is σ = 158845666560. Its totient is φ = 12590899200.

The previous prime is 45816478369. The next prime is 45816478441. The reversal of 45816478400 is 487461854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1238283182 + ... + 1238283218.

Almost surely, 2^45816478400 is an apocalyptic number.

45816478400 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 45816478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79422833280).

45816478400 is an abundant number, since it is smaller than the sum of its proper divisors (113029188160).

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

45816478400 is a wasteful number, since it uses less digits than its factorization.

45816478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 45816478400 in words is "forty-five billion, eight hundred sixteen million, four hundred seventy-eight thousand, four hundred".