49667346285984 has 288 divisors, whose sum is σ = 168591419418240. Its totient is φ = 13573118232576.

The previous prime is 49667346285913. The next prime is 49667346286049. The reversal of 49667346285984 is 48958264376694.

49667346285984 is a `hidden beast` number, since 4 + 9 + 6 + 6 + 73 + 462 + 8 + 5 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1241899 + ... + 10043754.

It is an arithmetic number, because the mean of its divisors is an integer number (585386872980).

Almost surely, 2^{49667346285984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49667346285984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84295709709120).

49667346285984 is an abundant number, since it is smaller than the sum of its proper divisors (118924073132256).

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

49667346285984 is a wasteful number, since it uses less digits than its factorization.

49667346285984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11285772 (or 11285761 counting only the distinct ones).

The product of its digits is 15049359360, while the sum is 81.

The spelling of 49667346285984 in words is "forty-nine trillion, six hundred sixty-seven billion, three hundred forty-six million, two hundred eighty-five thousand, nine hundred eighty-four".