45093790848 has 128 divisors (see below), whose sum is σ = 124110760320. Its totient is φ = 14495072256.

The previous prime is 45093790843. The next prime is 45093790849. The reversal of 45093790848 is 84809739054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45093790843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1591461 + ... + 1619547.

It is an arithmetic number, because the mean of its divisors is an integer number (969615315).

Almost surely, 2^45093790848 is an apocalyptic number.

45093790848 is a gapful number since it is divisible by the number (48) 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 45093790848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62055380160).

45093790848 is an abundant number, since it is smaller than the sum of its proper divisors (79016969472).

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

45093790848 is a wasteful number, since it uses less digits than its factorization.

45093790848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28254 (or 28242 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 45093790848 in words is "forty-five billion, ninety-three million, seven hundred ninety thousand, eight hundred forty-eight".