49050116544 has 504 divisors, whose sum is σ = 159676703760. Its totient is φ = 13277721600.

The previous prime is 49050116543. The next prime is 49050116561. The reversal of 49050116544 is 44561105094.

49050116544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49050116543) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1582261809 + ... + 1582261839.

Almost surely, 2^49050116544 is an apocalyptic number.

49050116544 is a gapful number since it is divisible by the number (44) 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 49050116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79838351880).

49050116544 is an abundant number, since it is smaller than the sum of its proper divisors (110626587216).

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

49050116544 is a wasteful number, since it uses less digits than its factorization.

49050116544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

Multiplying 49050116544 by its sum of digits (39), we get a square (1912954545216 = 1383096²).

49050116544 divided by its sum of digits (39) gives a square (1257695296 = 35464²).

The spelling of 49050116544 in words is "forty-nine billion, fifty million, one hundred sixteen thousand, five hundred forty-four".