48651679780704 has 6480 divisors, whose sum is σ = 224974195117056. Its totient is φ = 10162497945600.

The previous prime is 48651679780597. The next prime is 48651679780729. The reversal of 48651679780704 is 40708797615684.

48651679780704 is a `hidden beast` number, since 486 + 5 + 1 + 6 + 7 + 9 + 78 + 0 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 1569409025169 + ... + 1569409025199.

Almost surely, 2^{48651679780704} is an apocalyptic number.

48651679780704 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 48651679780704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112487097558528).

48651679780704 is an abundant number, since it is smaller than the sum of its proper divisors (176322515336352).

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

48651679780704 is a wasteful number, since it uses less digits than its factorization.

48651679780704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 48651679780704 in words is "forty-eight trillion, six hundred fifty-one billion, six hundred seventy-nine million, seven hundred eighty thousand, seven hundred four".