45048194924544 has 480 divisors, whose sum is σ = 154241993505600. Its totient is φ = 12870658031616.

The previous prime is 45048194924531. The next prime is 45048194924567. The reversal of 45048194924544 is 44542949184054.

45048194924544 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 8 + 1 + 94 + 92 + 454 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 891788632 + ... + 891839144.

It is an arithmetic number, because the mean of its divisors is an integer number (321337486470).

Almost surely, 2^{45048194924544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45048194924544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77120996752800).

45048194924544 is an abundant number, since it is smaller than the sum of its proper divisors (109193798581056).

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

45048194924544 is an frugal number, since it uses more digits than its factorization.

45048194924544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50573 (or 50525 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 45048194924544 in words is "forty-five trillion, forty-eight billion, one hundred ninety-four million, nine hundred twenty-four thousand, five hundred forty-four".