49812135408 has 240 divisors, whose sum is σ = 167254607520. Its totient is φ = 14152320000.

The previous prime is 49812135407. The next prime is 49812135433. The reversal of 49812135408 is 80453121894.

49812135408 is a `hidden beast` number, since 4 + 9 + 81 + 21 + 3 + 540 + 8 = 666.

49812135408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49812135407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3824908 + ... + 3837908.

It is an arithmetic number, because the mean of its divisors is an integer number (696894198).

Almost surely, 2^49812135408 is an apocalyptic number.

49812135408 is a gapful number since it is divisible by the number (48) 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 49812135408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83627303760).

49812135408 is an abundant number, since it is smaller than the sum of its proper divisors (117442472112).

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

49812135408 is a wasteful number, since it uses less digits than its factorization.

49812135408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13213 (or 13194 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 49812135408 in words is "forty-nine billion, eight hundred twelve million, one hundred thirty-five thousand, four hundred eight".