49019108576256 has 2640 divisors, whose sum is σ = 192342298337280. Its totient is φ = 11917048872960.

The previous prime is 49019108576231. The next prime is 49019108576327. The reversal of 49019108576256 is 65267580191094.

49019108576256 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 9 + 1 + 0 + 8 + 576 + 2 + 56 = 666.

It is a super-2 number, since 2×49019108576256² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 49019108576193 and 49019108576202.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 205100872585 + ... + 205100872823.

Almost surely, 2^{49019108576256} is an apocalyptic number.

49019108576256 is a gapful number since it is divisible by the number (46) 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 49019108576256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96171149168640).

49019108576256 is an abundant number, since it is smaller than the sum of its proper divisors (143323189761024).

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

49019108576256 is a wasteful number, since it uses less digits than its factorization.

49019108576256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 49019108576256 in words is "forty-nine trillion, nineteen billion, one hundred eight million, five hundred seventy-six thousand, two hundred fifty-six".