49803581574432 has 216 divisors, whose sum is σ = 165249782307792. Its totient is φ = 14186603692800.

The previous prime is 49803581574371. The next prime is 49803581574449. The reversal of 49803581574432 is 23447518530894.

It is a happy number.

49803581574432 is a `hidden beast` number, since 4 + 9 + 8 + 0 + 3 + 58 + 1 + 574 + 4 + 3 + 2 = 666.

49803581574432 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49803581574432² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 49803581574432.

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, 659994 + ... + 10002137.

It is an arithmetic number, because the mean of its divisors is an integer number (765045288462).

Almost surely, 2^{49803581574432} is an apocalyptic number.

49803581574432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49803581574432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82624891153896).

49803581574432 is an abundant number, since it is smaller than the sum of its proper divisors (115446200733360).

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

49803581574432 is a wasteful number, since it uses less digits than its factorization.

49803581574432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10662492 (or 10662474 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 49803581574432 in words is "forty-nine trillion, eight hundred three billion, five hundred eighty-one million, five hundred seventy-four thousand, four hundred thirty-two".