49056072032016 has 405 divisors, whose sum is σ = 160893932589351. Its totient is φ = 13912305289344.

The previous prime is 49056072031999. The next prime is 49056072032029. The reversal of 49056072032016 is 61023027065094.

The square root of 49056072032016 is 7004004.

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

49056072032016 is a `hidden beast` number, since 4 + 9 + 0 + 5 + 607 + 2 + 0 + 3 + 20 + 16 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 117078930655 + ... + 117078931073.

Almost surely, 2^{49056072032016} is an apocalyptic number.

49056072032016 is the 7004004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49056072032016

49056072032016 is an abundant number, since it is smaller than the sum of its proper divisors (111837860557335).

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

49056072032016 is an equidigital number, since it uses as much as digits as its factorization.

49056072032016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 49056072032016 in words is "forty-nine trillion, fifty-six billion, seventy-two million, thirty-two thousand, sixteen".