49638106854000 has 1600 divisors, whose sum is σ = 210171856806912. Its totient is φ = 11055792384000.

The previous prime is 49638106853999. The next prime is 49638106854113. The reversal of 49638106854000 is 45860183694.

49638106854000 is a `hidden beast` number, since 4 + 9 + 6 + 38 + 1 + 0 + 68 + 540 + 0 + 0 = 666.

49638106854000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 319 ways as a sum of consecutive naturals, for example, 26672813070 + ... + 26672814930.

Almost surely, 2^{49638106854000} is an apocalyptic number.

49638106854000 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 49638106854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105085928403456).

49638106854000 is an abundant number, since it is smaller than the sum of its proper divisors (160533749952912).

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

49638106854000 is a wasteful number, since it uses less digits than its factorization.

49638106854000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 49638106854000 in words is "forty-nine trillion, six hundred thirty-eight billion, one hundred six million, eight hundred fifty-four thousand".