48611377465728 has 384 divisors, whose sum is σ = 164273500224000. Its totient is φ = 12594506158080.

The previous prime is 48611377465691. The next prime is 48611377465747. The reversal of 48611377465728 is 82756477311684.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81873673 + ... + 82465271.

It is an arithmetic number, because the mean of its divisors is an integer number (427795573500).

Almost surely, 2^{48611377465728} is an apocalyptic number.

48611377465728 is a gapful number since it is divisible by the number (48) 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 48611377465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82136750112000).

48611377465728 is an abundant number, since it is smaller than the sum of its proper divisors (115662122758272).

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

48611377465728 is a wasteful number, since it uses less digits than its factorization.

48611377465728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592038 (or 592019 counting only the distinct ones).

The product of its digits is 379330560, while the sum is 69.

The spelling of 48611377465728 in words is "forty-eight trillion, six hundred eleven billion, three hundred seventy-seven million, four hundred sixty-five thousand, seven hundred twenty-eight".