49519803104064 has 224 divisors, whose sum is σ = 151917204602880. Its totient is φ = 15788025792000.

The previous prime is 49519803103999. The next prime is 49519803104099. The reversal of 49519803104064 is 46040130891594.

49519803104064 is a `hidden beast` number, since 4 + 9 + 519 + 80 + 3 + 1 + 0 + 40 + 6 + 4 = 666.

It is a super-2 number, since 2×49519803104064² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 49519803104064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1304816289 + ... + 1304854239.

Almost surely, 2^{49519803104064} 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 49519803104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75958602301440).

49519803104064 is an abundant number, since it is smaller than the sum of its proper divisors (102397401498816).

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

49519803104064 is a wasteful number, since it uses less digits than its factorization.

49519803104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70826 (or 70810 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 49519803104064 in words is "forty-nine trillion, five hundred nineteen billion, eight hundred three million, one hundred four thousand, sixty-four".