49353041629584 has 405 divisors, whose sum is σ = 176627633004459. Its totient is φ = 12817285810560.

The previous prime is 49353041629553. The next prime is 49353041629601. The reversal of 49353041629584 is 48592614035394.

It is a happy number.

The square root of 49353041629584 is 7025172.

It is a perfect power (a square), and thus also a powerful number.

49353041629584 is a `hidden beast` number, since 4 + 9 + 3 + 5 + 3 + 0 + 41 + 6 + 2 + 9 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6491255127 + ... + 6491262729.

Almost surely, 2^{49353041629584} is an apocalyptic number.

49353041629584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

49353041629584 is the 7025172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49353041629584

49353041629584 is an abundant number, since it is smaller than the sum of its proper divisors (127274591374875).

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

49353041629584 is an equidigital number, since it uses as much as digits as its factorization.

49353041629584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15256 (or 7626 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 49353041629584 in words is "forty-nine trillion, three hundred fifty-three billion, forty-one million, six hundred twenty-nine thousand, five hundred eighty-four".