5601915144 has 288 divisors, whose sum is σ = 18648040320. Its totient is φ = 1485361152.

The previous prime is 5601915133. The next prime is 5601915149. The reversal of 5601915144 is 4415191065.

5601915144 is a `hidden beast` number, since 5 + 601 + 9 + 1 + 5 + 1 + 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 = 5601915099 and 5601915108.

It is not an unprimeable number, because it can be changed into a prime (5601915149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15869272 + ... + 15869624.

It is an arithmetic number, because the mean of its divisors is an integer number (64750140).

Almost surely, 2^5601915144 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 5601915144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9324020160).

5601915144 is an abundant number, since it is smaller than the sum of its proper divisors (13046125176).

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

5601915144 is a wasteful number, since it uses less digits than its factorization.

5601915144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5601915144 is about 74845.9427357288. The cubic root of 5601915144 is about 1776.0104166056.

The spelling of 5601915144 in words is "five billion, six hundred one million, nine hundred fifteen thousand, one hundred forty-four".