48119354640 has 320 divisors, whose sum is σ = 189683097600. Its totient is φ = 10983568896.

The previous prime is 48119354627. The next prime is 48119354681. The reversal of 48119354640 is 4645391184.

48119354640 is a `hidden beast` number, since 4 + 8 + 11 + 93 + 546 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13893549 + ... + 13897011.

It is an arithmetic number, because the mean of its divisors is an integer number (592759680).

Almost surely, 2^48119354640 is an apocalyptic number.

48119354640 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 48119354640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94841548800).

48119354640 is an abundant number, since it is smaller than the sum of its proper divisors (141563742960).

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

48119354640 is a wasteful number, since it uses less digits than its factorization.

48119354640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 48119354640 in words is "forty-eight billion, one hundred nineteen million, three hundred fifty-four thousand, six hundred forty".