48617781408 has 144 divisors (see below), whose sum is σ = 158116323456. Its totient is φ = 13881254400.

The previous prime is 48617781383. The next prime is 48617781431. The reversal of 48617781408 is 80418771684.

48617781408 is a `hidden beast` number, since 4 + 8 + 617 + 7 + 8 + 14 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3244333 + ... + 3259283.

It is an arithmetic number, because the mean of its divisors is an integer number (1098030024).

Almost surely, 2^48617781408 is an apocalyptic number.

48617781408 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 48617781408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79058161728).

48617781408 is an abundant number, since it is smaller than the sum of its proper divisors (109498542048).

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

48617781408 is a wasteful number, since it uses less digits than its factorization.

48617781408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16587 (or 16576 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 48617781408 in words is "forty-eight billion, six hundred seventeen million, seven hundred eighty-one thousand, four hundred eight".