50445266448384 has 624 divisors, whose sum is σ = 156739312984800. Its totient is φ = 16191772950528.

The previous prime is 50445266448361. The next prime is 50445266448487. The reversal of 50445266448384 is 48384466254405.

50445266448384 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 52 + 66 + 448 + 3 + 84 = 666.

It is a super-2 number, since 2×50445266448384² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 11805583272 + ... + 11805587544.

It is an arithmetic number, because the mean of its divisors is an integer number (251184796450).

Almost surely, 2^{50445266448384} is an apocalyptic number.

50445266448384 is a gapful number since it is divisible by the number (54) 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 50445266448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369656492400).

50445266448384 is an abundant number, since it is smaller than the sum of its proper divisors (106294046536416).

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

50445266448384 is an equidigital number, since it uses as much as digits as its factorization.

50445266448384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 353894400, while the sum is 63.

The spelling of 50445266448384 in words is "fifty trillion, four hundred forty-five billion, two hundred sixty-six million, four hundred forty-eight thousand, three hundred eighty-four".