45449280000 has 600 divisors, whose sum is σ = 168178515648. Its totient is φ = 11805696000.

The previous prime is 45449279999. The next prime is 45449280047. The reversal of 45449280000 is 8294454.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 123839817 + ... + 123840183.

Almost surely, 2^45449280000 is an apocalyptic number.

45449280000 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 45449280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84089257824).

45449280000 is an abundant number, since it is smaller than the sum of its proper divisors (122729235648).

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

45449280000 is an equidigital number, since it uses as much as digits as its factorization.

45449280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45449280000 in words is "forty-five billion, four hundred forty-nine million, two hundred eighty thousand".