49614046528560 has 640 divisors, whose sum is σ = 161504863027200. Its totient is φ = 12583691366400.

The previous prime is 49614046528547. The next prime is 49614046528561. The reversal of 49614046528560 is 6582564041694.

It is a happy number.

49614046528560 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 2×49614046528560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 49614046528494 and 49614046528503.

It is not an unprimeable number, because it can be changed into a prime (49614046528561) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 118410612031 + ... + 118410612449.

It is an arithmetic number, because the mean of its divisors is an integer number (252351348480).

Almost surely, 2^{49614046528560} is an apocalyptic number.

49614046528560 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 49614046528560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80752431513600).

49614046528560 is an abundant number, since it is smaller than the sum of its proper divisors (111890816498640).

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

49614046528560 is a wasteful number, since it uses less digits than its factorization.

49614046528560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 49614046528560 in words is "forty-nine trillion, six hundred fourteen billion, forty-six million, five hundred twenty-eight thousand, five hundred sixty".