49332979777536 has 2025 divisors, whose sum is σ = 188463401580069. Its totient is φ = 12816703291392.

The previous prime is 49332979777507. The next prime is 49332979777537. The reversal of 49332979777536 is 63577797923394.

The square root of 49332979777536 is 7023744.

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

49332979777536 is a `hidden beast` number, since 4 + 9 + 3 + 3 + 2 + 9 + 7 + 9 + 7 + 77 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7297778073600 + 42035201703936 = 2701440^2 + 6483456^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (49332979777537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 736313130975 + ... + 736313131041.

Almost surely, 2^{49332979777536} is an apocalyptic number.

49332979777536 is the 7023744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49332979777536

49332979777536 is an abundant number, since it is smaller than the sum of its proper divisors (139130421802533).

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

49332979777536 is an frugal number, since it uses more digits than its factorization.

49332979777536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 92 counting only the distinct ones).

The product of its digits is 11342131920, while the sum is 81.

49332979777536 divided by its sum of digits (81) gives a square (609049133056 = 780416²).

The spelling of 49332979777536 in words is "forty-nine trillion, three hundred thirty-two billion, nine hundred seventy-nine million, seven hundred seventy-seven thousand, five hundred thirty-six".