45054616400 has 120 divisors (see below), whose sum is σ = 115384579200. Its totient is φ = 16856985600.

The previous prime is 45054616379. The next prime is 45054616417. The reversal of 45054616400 is 461645054.

It is a super-2 number, since 2×45054616400² (a number of 22 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 23 ways as a sum of consecutive naturals, for example, 562880 + ... + 637920.

It is an arithmetic number, because the mean of its divisors is an integer number (961538160).

Almost surely, 2^45054616400 is an apocalyptic number.

45054616400 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 45054616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57692289600).

45054616400 is an abundant number, since it is smaller than the sum of its proper divisors (70329962800).

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

45054616400 is a wasteful number, since it uses less digits than its factorization.

45054616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75157 (or 75146 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 45054616400 in words is "forty-five billion, fifty-four million, six hundred sixteen thousand, four hundred".