5344761312 has 144 divisors (see below), whose sum is σ = 16985732400. Its totient is φ = 1580083200.

The previous prime is 5344761299. The next prime is 5344761337. The reversal of 5344761312 is 2131674435.

5344761312 is a `hidden beast` number, since 5 + 34 + 4 + 7 + 613 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5344761312² = 57132946964503922688, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109314 + ... + 150462.

It is an arithmetic number, because the mean of its divisors is an integer number (117956475).

Almost surely, 2^5344761312 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 5344761312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8492866200).

5344761312 is an abundant number, since it is smaller than the sum of its proper divisors (11640971088).

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

5344761312 is a wasteful number, since it uses less digits than its factorization.

5344761312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41217 (or 41206 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 5344761312 is about 73107.8744869525. The cubic root of 5344761312 is about 1748.4079465803.

The spelling of 5344761312 in words is "five billion, three hundred forty-four million, seven hundred sixty-one thousand, three hundred twelve".