48456982952640 has 1568 divisors, whose sum is σ = 185703798873600. Its totient is φ = 11995629355008.

The previous prime is 48456982952629. The next prime is 48456982952699. The reversal of 48456982952640 is 4625928965484.

48456982952640 is a `hidden beast` number, since 4 + 8 + 4 + 5 + 6 + 98 + 2 + 9 + 526 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 138845223186 + ... + 138845223534.

It is an arithmetic number, because the mean of its divisors is an integer number (118433545200).

Almost surely, 2^{48456982952640} is an apocalyptic number.

48456982952640 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 48456982952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92851899436800).

48456982952640 is an abundant number, since it is smaller than the sum of its proper divisors (137246815920960).

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

48456982952640 is a wasteful number, since it uses less digits than its factorization.

48456982952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 72.

The spelling of 48456982952640 in words is "forty-eight trillion, four hundred fifty-six billion, nine hundred eighty-two million, nine hundred fifty-two thousand, six hundred forty".