49493137436288 has 384 divisors, whose sum is σ = 133976359011600. Its totient is φ = 17978472529920.

The previous prime is 49493137436273. The next prime is 49493137436293. The reversal of 49493137436288 is 88263473139494.

It can be written as a sum of positive squares in 8 ways, for example, as 26805139407424 + 22687998028864 = 5177368^2 + 4763192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56395148 + ... + 57266036.

Almost surely, 2^{49493137436288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49493137436288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66988179505800).

49493137436288 is an abundant number, since it is smaller than the sum of its proper divisors (84483221575312).

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

49493137436288 is a wasteful number, since it uses less digits than its factorization.

49493137436288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870988 (or 870969 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 71.

The spelling of 49493137436288 in words is "forty-nine trillion, four hundred ninety-three billion, one hundred thirty-seven million, four hundred thirty-six thousand, two hundred eighty-eight".