49850264236032 has 1248 divisors, whose sum is σ = 166969453916160. Its totient is φ = 14674160517120.

The previous prime is 49850264235953. The next prime is 49850264236127. The reversal of 49850264236032 is 23063246205894.

49850264236032 is a `hidden beast` number, since 4 + 9 + 8 + 5 + 0 + 2 + 6 + 4 + 23 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×49850264236032² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 49850264236032.

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 95 ways as a sum of consecutive naturals, for example, 56200973893 + ... + 56200974779.

Almost surely, 2^{49850264236032} 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 49850264236032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83484726958080).

49850264236032 is an abundant number, since it is smaller than the sum of its proper divisors (117119189680128).

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

49850264236032 is a wasteful number, since it uses less digits than its factorization.

49850264236032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 49850264236032 in words is "forty-nine trillion, eight hundred fifty billion, two hundred sixty-four million, two hundred thirty-six thousand, thirty-two".