48977134766208 has 640 divisors, whose sum is σ = 168456451680000. Its totient is φ = 13960430714880.

The previous prime is 48977134766179. The next prime is 48977134766213. The reversal of 48977134766208 is 80266743177984.

48977134766208 is a `hidden beast` number, since 4 + 8 + 9 + 7 + 71 + 347 + 6 + 6 + 208 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3875686866 + ... + 3875699502.

It is an arithmetic number, because the mean of its divisors is an integer number (263213205750).

Almost surely, 2^{48977134766208} is an apocalyptic number.

48977134766208 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 48977134766208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84228225840000).

48977134766208 is an abundant number, since it is smaller than the sum of its proper divisors (119479316913792).

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

48977134766208 is a wasteful number, since it uses less digits than its factorization.

48977134766208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14690 (or 14669 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 48977134766208 in words is "forty-eight trillion, nine hundred seventy-seven billion, one hundred thirty-four million, seven hundred sixty-six thousand, two hundred eight".