48591631226880 has 3072 divisors, whose sum is σ = 220028949504000. Its totient is φ = 9910855139328.

The previous prime is 48591631226851. The next prime is 48591631226911. The reversal of 48591631226880 is 8862213619584.

48591631226880 is a `hidden beast` number, since 4 + 8 + 59 + 1 + 6 + 312 + 268 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×48591631226880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 118805944116 + ... + 118805944524.

It is an arithmetic number, because the mean of its divisors is an integer number (71624007000).

Almost surely, 2^{48591631226880} is an apocalyptic number.

48591631226880 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 48591631226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110014474752000).

48591631226880 is an abundant number, since it is smaller than the sum of its proper divisors (171437318277120).

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

48591631226880 is a wasteful number, since it uses less digits than its factorization.

48591631226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 48591631226880 in words is "forty-eight trillion, five hundred ninety-one billion, six hundred thirty-one million, two hundred twenty-six thousand, eight hundred eighty".