49900085485264 has 240 divisors, whose sum is σ = 123401702499840. Its totient is φ = 19402649763840.

The previous prime is 49900085485193. The next prime is 49900085485273. The reversal of 49900085485264 is 46258458000994.

49900085485264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49900085485264² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49900085485196 and 49900085485205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105949207 + ... + 106419145.

It is an arithmetic number, because the mean of its divisors is an integer number (514173760416).

Almost surely, 2^{49900085485264} 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 49900085485264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61700851249920).

49900085485264 is an abundant number, since it is smaller than the sum of its proper divisors (73501617014576).

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

49900085485264 is a wasteful number, since it uses less digits than its factorization.

49900085485264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470266 (or 470253 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 64.

The spelling of 49900085485264 in words is "forty-nine trillion, nine hundred billion, eighty-five million, four hundred eighty-five thousand, two hundred sixty-four".