5601347136 has 1008 divisors, whose sum is σ = 23355970560. Its totient is φ = 1240842240.

The previous prime is 5601347111. The next prime is 5601347177. The reversal of 5601347136 is 6317431065.

5601347136 is a `hidden beast` number, since 5 + 601 + 3 + 47 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5601347136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 243536821 + ... + 243536843.

Almost surely, 2^5601347136 is an apocalyptic number.

5601347136 is a gapful number since it is divisible by the number (56) 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 5601347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11677985280).

5601347136 is an abundant number, since it is smaller than the sum of its proper divisors (17754623424).

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

5601347136 is a wasteful number, since it uses less digits than its factorization.

5601347136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5601347136 is about 74842.1481252376. The cubic root of 5601347136 is about 1775.9503881929.

The spelling of 5601347136 in words is "five billion, six hundred one million, three hundred forty-seven thousand, one hundred thirty-six".