48117853440 has 288 divisors, whose sum is σ = 171124007040. Its totient is φ = 12803457024.

The previous prime is 48117853403. The next prime is 48117853477. The reversal of 48117853440 is 4435871184.

48117853440 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 78 + 534 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (48117853403) and next prime (48117853477).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19456044 + ... + 19458516.

It is an arithmetic number, because the mean of its divisors is an integer number (594180580).

Almost surely, 2^48117853440 is an apocalyptic number.

48117853440 is a gapful number since it is divisible by the number (40) 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 48117853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85562003520).

48117853440 is an abundant number, since it is smaller than the sum of its proper divisors (123006153600).

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

48117853440 is a wasteful number, since it uses less digits than its factorization.

48117853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 48117853440 in words is "forty-eight billion, one hundred seventeen million, eight hundred fifty-three thousand, four hundred forty".