48606564543264 has 960 divisors, whose sum is σ = 182069849364480. Its totient is φ = 12374694051840.

The previous prime is 48606564543107. The next prime is 48606564543269. The reversal of 48606564543264 is 46234546560684.

48606564543264 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 6 + 5 + 64 + 543 + 26 + 4 = 666.

It is a super-3 number, since 3×48606564543264³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48606564543269) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2990612962 + ... + 2990629214.

It is an arithmetic number, because the mean of its divisors is an integer number (189656093088).

Almost surely, 2^{48606564543264} 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 48606564543264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91034924682240).

48606564543264 is an abundant number, since it is smaller than the sum of its proper divisors (133463284821216).

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

48606564543264 is a wasteful number, since it uses less digits than its factorization.

48606564543264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16735 (or 16718 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 63.

The spelling of 48606564543264 in words is "forty-eight trillion, six hundred six billion, five hundred sixty-four million, five hundred forty-three thousand, two hundred sixty-four".