49181793408 has 256 divisors, whose sum is σ = 158652432000. Its totient is φ = 14875176960.

The previous prime is 49181793371. The next prime is 49181793461. The reversal of 49181793408 is 80439718194.

49181793408 is a `hidden beast` number, since 4 + 91 + 81 + 79 + 3 + 408 = 666.

49181793408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28777258 + ... + 28778966.

Almost surely, 2^49181793408 is an apocalyptic number.

49181793408 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 49181793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79326216000).

49181793408 is an abundant number, since it is smaller than the sum of its proper divisors (109470638592).

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

49181793408 is a wasteful number, since it uses less digits than its factorization.

49181793408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

It can be divided in two parts, 491817 and 93408, that added together give a square (585225 = 765²).

The spelling of 49181793408 in words is "forty-nine billion, one hundred eighty-one million, seven hundred ninety-three thousand, four hundred eight".