49056016000000 has 693 divisors, whose sum is σ = 131489720757687. Its totient is φ = 18288844800000.

The previous prime is 49056015999901. The next prime is 49056016000129. The reversal of 49056016000000 is 61065094.

The square root of 49056016000000 is 7004000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 48228469187584 + 827546812416 = 6944672^2 + 909696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 476271999949 + ... + 476272000051.

Almost surely, 2^{49056016000000} is an apocalyptic number.

49056016000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49056016000000 is the 7004000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49056016000000

49056016000000 is an abundant number, since it is smaller than the sum of its proper divisors (82433704757687).

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

49056016000000 is an frugal number, since it uses more digits than its factorization.

49056016000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 49056016000000 its reverse (61065094), we get a palindrome (49056077065094).

The spelling of 49056016000000 in words is "forty-nine trillion, fifty-six billion, sixteen million", and thus it is an aban number and an uban number.