49153896064 has 288 divisors, whose sum is σ = 125121931200. Its totient is φ = 19166644224.

The previous prime is 49153896037. The next prime is 49153896083. The reversal of 49153896064 is 46069835194.

It is a happy number.

49153896064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49153896064² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49153895996 and 49153896014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83737179 + ... + 83737765.

It is an arithmetic number, because the mean of its divisors is an integer number (434451150).

Almost surely, 2^49153896064 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 49153896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62560965600).

49153896064 is an abundant number, since it is smaller than the sum of its proper divisors (75968035136).

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

49153896064 is a wasteful number, since it uses less digits than its factorization.

49153896064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 49153896064 in words is "forty-nine billion, one hundred fifty-three million, eight hundred ninety-six thousand, sixty-four".