48687577578684 has 108 divisors (see below), whose sum is σ = 135345390348168. Its totient is φ = 14746330927680.

The previous prime is 48687577578637. The next prime is 48687577578719.

48687577578684 is a `hidden beast` number, since 486 + 8 + 7 + 5 + 77 + 57 + 8 + 6 + 8 + 4 = 666.

48687577578684 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×48687577578684² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48687577578594 and 48687577578603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5761867 + ... + 11426909.

Almost surely, 2^{48687577578684} is an apocalyptic number.

48687577578684 is a gapful number since it is divisible by the number (44) 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 48687577578684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67672695174084).

48687577578684 is an abundant number, since it is smaller than the sum of its proper divisors (86657812769484).

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

48687577578684 is a wasteful number, since it uses less digits than its factorization.

48687577578684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667048 (or 5667032 counting only the distinct ones).

The product of its digits is 141616742400, while the sum is 90.

The spelling of 48687577578684 in words is "forty-eight trillion, six hundred eighty-seven billion, five hundred seventy-seven million, five hundred seventy-eight thousand, six hundred eighty-four".