49086626254848 has 3328 divisors, whose sum is σ = 199624499200000. Its totient is φ = 11868928081920.

The previous prime is 49086626254781. The next prime is 49086626254949. The reversal of 49086626254848 is 84845262668094.

49086626254848 is a `hidden beast` number, since 4 + 9 + 0 + 86 + 6 + 2 + 62 + 5 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1583439556593 + ... + 1583439556623.

Almost surely, 2^{49086626254848} is an apocalyptic number.

49086626254848 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 49086626254848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99812249600000).

49086626254848 is an abundant number, since it is smaller than the sum of its proper divisors (150537872945152).

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

49086626254848 is an equidigital number, since it uses as much as digits as its factorization.

49086626254848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1274019840, while the sum is 72.

The spelling of 49086626254848 in words is "forty-nine trillion, eighty-six billion, six hundred twenty-six million, two hundred fifty-four thousand, eight hundred forty-eight".