49821852536064 has 1728 divisors, whose sum is σ = 190677924864000. Its totient is φ = 12733012131840.

The previous prime is 49821852536021. The next prime is 49821852536089. The reversal of 49821852536064 is 46063525812894.

49821852536064 is a `hidden beast` number, since 4 + 9 + 8 + 2 + 18 + 5 + 2 + 5 + 3 + 606 + 4 = 666.

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

It is a super-2 number, since 2×49821852536064² (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 junction number, because it is equal to n+sod(n) for n = 49821852535992 and 49821852536010.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 11692523694 + ... + 11692527954.

Almost surely, 2^{49821852536064} 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 49821852536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95338962432000).

49821852536064 is an abundant number, since it is smaller than the sum of its proper divisors (140856072327936).

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

49821852536064 is a wasteful number, since it uses less digits than its factorization.

49821852536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 49821852536064 in words is "forty-nine trillion, eight hundred twenty-one billion, eight hundred fifty-two million, five hundred thirty-six thousand, sixty-four".