48845813667840 has 1728 divisors, whose sum is σ = 210828016788480. Its totient is φ = 10803767869440.

The previous prime is 48845813667829. The next prime is 48845813667841. The reversal of 48845813667840 is 4876631854884.

48845813667840 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 581 + 36 + 6 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48845813667841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3779751619 + ... + 3779764541.

It is an arithmetic number, because the mean of its divisors is an integer number (122006954160).

Almost surely, 2^{48845813667840} is an apocalyptic number.

48845813667840 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 48845813667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105414008394240).

48845813667840 is an abundant number, since it is smaller than the sum of its proper divisors (161982203120640).

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

48845813667840 is a wasteful number, since it uses less digits than its factorization.

48845813667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13010 (or 12971 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 48845813667840 in words is "forty-eight trillion, eight hundred forty-five billion, eight hundred thirteen million, six hundred sixty-seven thousand, eight hundred forty".