24742031616 has 243 divisors, whose sum is σ = 74541720799. Its totient is φ = 7892484096.

The previous prime is 24742031579. The next prime is 24742031617. The reversal of 24742031616 is 61613024742.

The square root of 24742031616 is 157296.

It is a perfect power (a square), and thus also a powerful number.

24742031616 is a `hidden beast` number, since 2 + 4 + 7 + 4 + 2 + 0 + 31 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8537760000 + 16204271616 = 92400^2 + 127296^2 .

It is a super-2 number, since 2×24742031616² (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24742031617) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 218955976 + ... + 218956088.

Almost surely, 2^24742031616 is an apocalyptic number.

24742031616 is the 157296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24742031616

24742031616 is an abundant number, since it is smaller than the sum of its proper divisors (49799689183).

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

24742031616 is an equidigital number, since it uses as much as digits as its factorization.

24742031616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 24742031616 by its sum of digits (36), we get a square (890713138176 = 943776²).

24742031616 divided by its sum of digits (36) gives a square (687278656 = 26216²).

The spelling of 24742031616 in words is "twenty-four billion, seven hundred forty-two million, thirty-one thousand, six hundred sixteen".