49728016015104 has 288 divisors, whose sum is σ = 154393942259200. Its totient is φ = 14203306672128.

The previous prime is 49728016015103. The next prime is 49728016015151. The reversal of 49728016015104 is 40151061082794.

49728016015104 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 2×49728016015104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49728016015103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839502672 + ... + 839561904.

Almost surely, 2^{49728016015104} 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 49728016015104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77196971129600).

49728016015104 is an abundant number, since it is smaller than the sum of its proper divisors (104665926244096).

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

49728016015104 is an equidigital number, since it uses as much as digits as its factorization.

49728016015104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62460 (or 62432 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

Adding to 49728016015104 its reverse (40151061082794), we get a palindrome (89879077097898).

The spelling of 49728016015104 in words is "forty-nine trillion, seven hundred twenty-eight billion, sixteen million, fifteen thousand, one hundred four".