49287257203968 has 216 divisors, whose sum is σ = 162419933818688. Its totient is φ = 14081069776896.

The previous prime is 49287257203963. The next prime is 49287257203991. The reversal of 49287257203968 is 86930275278294.

49287257203968 is a `hidden beast` number, since 4 + 9 + 2 + 87 + 257 + 203 + 96 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 49287257203896 and 49287257203905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49287257203963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242995971 + ... + 243198717.

Almost surely, 2^{49287257203968} is an apocalyptic number.

49287257203968 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 49287257203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81209966909344).

49287257203968 is an abundant number, since it is smaller than the sum of its proper divisors (113132676614720).

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

49287257203968 is a wasteful number, since it uses less digits than its factorization.

49287257203968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217849 (or 217832 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

It can be divided in two parts, 49287257 and 203968, that added together give a square (49491225 = 7035²).

The spelling of 49287257203968 in words is "forty-nine trillion, two hundred eighty-seven billion, two hundred fifty-seven million, two hundred three thousand, nine hundred sixty-eight".