49162764288 has 240 divisors, whose sum is σ = 144950722560. Its totient is φ = 14696448000.

The previous prime is 49162764281. The next prime is 49162764307. The reversal of 49162764288 is 88246726194.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (49162764281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42712513 + ... + 42713663.

It is an arithmetic number, because the mean of its divisors is an integer number (603961344).

Almost surely, 2^49162764288 is an apocalyptic number.

49162764288 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 49162764288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72475361280).

49162764288 is an abundant number, since it is smaller than the sum of its proper divisors (95787958272).

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

49162764288 is a wasteful number, since it uses less digits than its factorization.

49162764288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1246 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

It can be divided in two parts, 49162 and 764288, that added together give a triangular number (813450 = T₁₂₇₅).

The spelling of 49162764288 in words is "forty-nine billion, one hundred sixty-two million, seven hundred sixty-four thousand, two hundred eighty-eight".