45454348800 has 600 divisors, whose sum is σ = 192293424576. Its totient is φ = 10387906560.

The previous prime is 45454348673. The next prime is 45454348811. The reversal of 45454348800 is 884345454.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×45454348800² (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 59 ways as a sum of consecutive naturals, for example, 7254469 + ... + 7260731.

Almost surely, 2^45454348800 is an apocalyptic number.

45454348800 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 45454348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96146712288).

45454348800 is an abundant number, since it is smaller than the sum of its proper divisors (146839075776).

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

45454348800 is an equidigital number, since it uses as much as digits as its factorization.

45454348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 45454348800 in words is "forty-five billion, four hundred fifty-four million, three hundred forty-eight thousand, eight hundred".