49087826178048 has 2496 divisors, whose sum is σ = 190420635525120. Its totient is φ = 12307031654400.

The previous prime is 49087826177983. The next prime is 49087826178049. The reversal of 49087826178048 is 84087162878094.

49087826178048 is a `hidden beast` number, since 490 + 8 + 7 + 8 + 2 + 6 + 17 + 80 + 48 = 666.

It is a super-2 number, since 2×49087826178048² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (49087826178049) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106481184538 + ... + 106481184998.

It is an arithmetic number, because the mean of its divisors is an integer number (76290318720).

Almost surely, 2^{49087826178048} is an apocalyptic number.

49087826178048 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 49087826178048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95210317762560).

49087826178048 is an abundant number, since it is smaller than the sum of its proper divisors (141332809347072).

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

49087826178048 is a wasteful number, since it uses less digits than its factorization.

49087826178048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 49087826178048 in words is "forty-nine trillion, eighty-seven billion, eight hundred twenty-six million, one hundred seventy-eight thousand, forty-eight".