49306439149056 has 960 divisors, whose sum is σ = 159176125075968. Its totient is φ = 15196843081728.

The previous prime is 49306439149031. The next prime is 49306439149057. The reversal of 49306439149056 is 65094193460394.

49306439149056 is a `hidden beast` number, since 4 + 9 + 3 + 0 + 6 + 4 + 3 + 91 + 490 + 56 = 666.

It is a super-2 number, since 2×49306439149056² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49306439148984 and 49306439149002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49306439149057) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 17258115180 + ... + 17258118036.

Almost surely, 2^{49306439149056} is an apocalyptic number.

49306439149056 is a gapful number since it is divisible by the number (46) 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 49306439149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79588062537984).

49306439149056 is an abundant number, since it is smaller than the sum of its proper divisors (109869685926912).

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

49306439149056 is a wasteful number, since it uses less digits than its factorization.

49306439149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 49306439149056 in words is "forty-nine trillion, three hundred six billion, four hundred thirty-nine million, one hundred forty-nine thousand, fifty-six".