5074560144 has 40 divisors (see below), whose sum is σ = 14565868320. Its totient is φ = 1691519904.

The previous prime is 5074560107. The next prime is 5074560149. The reversal of 5074560144 is 4410654705.

5074560144 is a `hidden beast` number, since 5 + 0 + 7 + 4 + 5 + 601 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5074560099 and 5074560108.

It is not an unprimeable number, because it can be changed into a prime (5074560149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5872902 + ... + 5873765.

It is an arithmetic number, because the mean of its divisors is an integer number (364146708).

Almost surely, 2^5074560144 is an apocalyptic number.

5074560144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5074560144 is an abundant number, since it is smaller than the sum of its proper divisors (9491308176).

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

5074560144 is a wasteful number, since it uses less digits than its factorization.

5074560144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11746684 (or 11746672 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5074560144 is about 71235.9469930737. The cubic root of 5074560144 is about 1718.4337806630.

It can be divided in two parts, 50745 and 60144, that added together give a square (110889 = 333²).

The spelling of 5074560144 in words is "five billion, seventy-four million, five hundred sixty thousand, one hundred forty-four".