45535088400 has 240 divisors, whose sum is σ = 154473446400. Its totient is φ = 11433761280.

The previous prime is 45535088371. The next prime is 45535088441. The reversal of 45535088400 is 488053554.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3801621 + ... + 3813579.

It is an arithmetic number, because the mean of its divisors is an integer number (643639360).

Almost surely, 2^45535088400 is an apocalyptic number.

45535088400 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 45535088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77236723200).

45535088400 is an abundant number, since it is smaller than the sum of its proper divisors (108938358000).

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

45535088400 is a wasteful number, since it uses less digits than its factorization.

45535088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12166 (or 12155 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 45535088400 in words is "forty-five billion, five hundred thirty-five million, eighty-eight thousand, four hundred".