48012958656 has 672 divisors, whose sum is σ = 167752166400. Its totient is φ = 13481717760.

The previous prime is 48012958639. The next prime is 48012958657. The reversal of 48012958656 is 65685921084.

48012958656 = 13819² + 13820² + ... + 14065².

48012958656 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 2 + 9 + 586 + 56 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48012958657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111398761 + ... + 111399191.

It is an arithmetic number, because the mean of its divisors is an integer number (249631200).

Almost surely, 2^48012958656 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 48012958656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83876083200).

48012958656 is an abundant number, since it is smaller than the sum of its proper divisors (119739207744).

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

48012958656 is a wasteful number, since it uses less digits than its factorization.

48012958656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 48012958656 in words is "forty-eight billion, twelve million, nine hundred fifty-eight thousand, six hundred fifty-six".