49144964064 has 384 divisors, whose sum is σ = 166355804160. Its totient is φ = 12377401344.

The previous prime is 49144964017. The next prime is 49144964117. The reversal of 49144964064 is 46046944194.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49144963998 and 49144964016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10863307 + ... + 10867829.

It is an arithmetic number, because the mean of its divisors is an integer number (433218240).

Almost surely, 2^49144964064 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 49144964064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83177902080).

49144964064 is an abundant number, since it is smaller than the sum of its proper divisors (117210840096).

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

49144964064 is a wasteful number, since it uses less digits than its factorization.

49144964064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 49144964064 in words is "forty-nine billion, one hundred forty-four million, nine hundred sixty-four thousand, sixty-four".