49677236011264 has 81 divisors (see below), whose sum is σ = 99511238764119. Its totient is φ = 24751051069440.

The previous prime is 49677236011241. The next prime is 49677236011379. The reversal of 49677236011264 is 46211063277694.

It is a happy number.

The square root of 49677236011264 is 7048208.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12999774470400 + 36677461540864 = 3605520^2 + 6056192^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 49677236011199 and 49677236011208.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42063704754 + ... + 42063705934.

Almost surely, 2^{49677236011264} is an apocalyptic number.

49677236011264 is the 7048208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49677236011264

49677236011264 is an abundant number, since it is smaller than the sum of its proper divisors (49834002752855).

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

49677236011264 is an frugal number, since it uses more digits than its factorization.

49677236011264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 58.

The spelling of 49677236011264 in words is "forty-nine trillion, six hundred seventy-seven billion, two hundred thirty-six million, eleven thousand, two hundred sixty-four".