49972685044464 has 480 divisors, whose sum is σ = 184658576094720. Its totient is φ = 12725137345536.

The previous prime is 49972685044441. The next prime is 49972685044567. The reversal of 49972685044464 is 46444058627994.

49972685044464 is a `hidden beast` number, since 4 + 9 + 9 + 72 + 6 + 8 + 50 + 44 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49972685044392 and 49972685044401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7825219 + ... + 12695645.

It is an arithmetic number, because the mean of its divisors is an integer number (384705366864).

Almost surely, 2^{49972685044464} 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 49972685044464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92329288047360).

49972685044464 is an abundant number, since it is smaller than the sum of its proper divisors (134685891050256).

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

49972685044464 is a wasteful number, since it uses less digits than its factorization.

49972685044464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870499 (or 4870481 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 49972685044464 in words is "forty-nine trillion, nine hundred seventy-two billion, six hundred eighty-five million, forty-four thousand, four hundred sixty-four".