48946242240 has 1008 divisors, whose sum is σ = 211760799744. Its totient is φ = 10152345600.

The previous prime is 48946242239. The next prime is 48946242259. The reversal of 48946242240 is 4224264984.

48946242240 is a `hidden beast` number, since 48 + 94 + 62 + 422 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180613305 + ... + 180613575.

Almost surely, 2^48946242240 is an apocalyptic number.

48946242240 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 48946242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105880399872).

48946242240 is an abundant number, since it is smaller than the sum of its proper divisors (162814557504).

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

48946242240 is a wasteful number, since it uses less digits than its factorization.

48946242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 48946242240 in words is "forty-eight billion, nine hundred forty-six million, two hundred forty-two thousand, two hundred forty".