48117694464 has 480 divisors, whose sum is σ = 167347622400. Its totient is φ = 13377208320.

The previous prime is 48117694463. The next prime is 48117694477. The reversal of 48117694464 is 46449671184.

48117694464 is a `hidden beast` number, since 4 + 8 + 1 + 176 + 9 + 4 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4644864) is a multiple of the sum of its prime divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 48117694464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48117694463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126959427 + ... + 126959805.

It is an arithmetic number, because the mean of its divisors is an integer number (348640880).

Almost surely, 2^48117694464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48117694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83673811200).

48117694464 is an abundant number, since it is smaller than the sum of its proper divisors (119229927936).

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

48117694464 is an equidigital number, since it uses as much as digits as its factorization.

48117694464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 432 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 48117694464 in words is "forty-eight billion, one hundred seventeen million, six hundred ninety-four thousand, four hundred sixty-four".