613112924160 has 1440 divisors, whose sum is σ = 2491051563000. Its totient is φ = 144035020800.

The previous prime is 613112924129. The next prime is 613112924161. The reversal of 613112924160 is 61429211316.

It is a happy number.

613112924160 is a `hidden beast` number, since 613 + 1 + 1 + 2 + 9 + 24 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199530169344 + 413582754816 = 446688^2 + 643104^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (613112924161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4114851766 + ... + 4114851914.

Almost surely, 2^613112924160 is an apocalyptic number.

613112924160 is a gapful number since it is divisible by the number (60) 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 613112924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245525781500).

613112924160 is an abundant number, since it is smaller than the sum of its proper divisors (1877938638840).

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

613112924160 is a wasteful number, since it uses less digits than its factorization.

613112924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 613112924160 in words is "six hundred thirteen billion, one hundred twelve million, nine hundred twenty-four thousand, one hundred sixty".