49468289733408 has 192 divisors, whose sum is σ = 159885324410112. Its totient is φ = 13041300602880.

The previous prime is 49468289733407. The next prime is 49468289733419. The reversal of 49468289733408 is 80433798286494.

It is a super-2 number, since 2×49468289733408² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 49468289733408.

It is not an unprimeable number, because it can be changed into a prime (49468289733407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20459248 + ... + 22749008.

It is an arithmetic number, because the mean of its divisors is an integer number (832736064636).

Almost surely, 2^{49468289733408} is an apocalyptic number.

49468289733408 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 49468289733408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79942662205056).

49468289733408 is an abundant number, since it is smaller than the sum of its proper divisors (110417034676704).

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

49468289733408 is a wasteful number, since it uses less digits than its factorization.

49468289733408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292267 (or 2292259 counting only the distinct ones).

The product of its (nonzero) digits is 2006581248, while the sum is 75.

The spelling of 49468289733408 in words is "forty-nine trillion, four hundred sixty-eight billion, two hundred eighty-nine million, seven hundred thirty-three thousand, four hundred eight".