5074307478144 has 384 divisors, whose sum is σ = 15270841872000. Its totient is φ = 1615274680320.

The previous prime is 5074307478101. The next prime is 5074307478151. The reversal of 5074307478144 is 4418747034705.

It is a happy number.

5074307478144 is a `hidden beast` number, since 50 + 7 + 430 + 7 + 47 + 81 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3229984879 + ... + 3229986449.

It is an arithmetic number, because the mean of its divisors is an integer number (39767817375).

Almost surely, 2^{5074307478144} 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 5074307478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7635420936000).

5074307478144 is an abundant number, since it is smaller than the sum of its proper divisors (10196534393856).

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

5074307478144 is a wasteful number, since it uses less digits than its factorization.

5074307478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 5074307478144 in words is "five trillion, seventy-four billion, three hundred seven million, four hundred seventy-eight thousand, one hundred forty-four".