49529113024608 has 720 divisors, whose sum is σ = 170483032676880. Its totient is φ = 14064765474816.

The previous prime is 49529113024607. The next prime is 49529113024609. The reversal of 49529113024608 is 80642031192594.

It is a happy number.

49529113024608 is a `hidden beast` number, since 4 + 9 + 5 + 2 + 9 + 1 + 1 + 3 + 0 + 24 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (49529113024607) and next prime (49529113024609).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49529113024607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22482574035 + ... + 22482576237.

It is an arithmetic number, because the mean of its divisors is an integer number (236781989829).

Almost surely, 2^{49529113024608} is an apocalyptic number.

49529113024608 is a gapful number since it is divisible by the number (48) 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 49529113024608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85241516338440).

49529113024608 is an abundant number, since it is smaller than the sum of its proper divisors (120953919652272).

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

49529113024608 is a wasteful number, since it uses less digits than its factorization.

49529113024608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 49529113024608 in words is "forty-nine trillion, five hundred twenty-nine billion, one hundred thirteen million, twenty-four thousand, six hundred eight".