24489746064 has 495 divisors, whose sum is σ = 86549195523. Its totient is φ = 6692849856.

The previous prime is 24489746053. The next prime is 24489746077. The reversal of 24489746064 is 46064798442.

The square root of 24489746064 is 156492.

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

24489746064 is a `hidden beast` number, since 2 + 44 + 89 + 7 + 460 + 64 = 666.

It is a super-3 number, since 3×24489746064³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 24489746064.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 1064771557 + ... + 1064771579.

Almost surely, 2^24489746064 is an apocalyptic number.

24489746064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

24489746064 is the 156492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24489746064

24489746064 is an abundant number, since it is smaller than the sum of its proper divisors (62059449459).

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

24489746064 is an frugal number, since it uses more digits than its factorization.

24489746064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 24489746064 in words is "twenty-four billion, four hundred eighty-nine million, seven hundred forty-six thousand, sixty-four".