49234678416 has 800 divisors, whose sum is σ = 195316070400. Its totient is φ = 11578152960.

The previous prime is 49234678369. The next prime is 49234678421. The reversal of 49234678416 is 61487643294.

49234678416 is a `hidden beast` number, since 4 + 92 + 3 + 467 + 84 + 16 = 666.

49234678416 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 a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43608540 + ... + 43609668.

It is an arithmetic number, because the mean of its divisors is an integer number (244145088).

Almost surely, 2^49234678416 is an apocalyptic number.

49234678416 is a gapful number since it is divisible by the number (46) 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 49234678416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97658035200).

49234678416 is an abundant number, since it is smaller than the sum of its proper divisors (146081391984).

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

49234678416 is a wasteful number, since it uses less digits than its factorization.

49234678416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1194 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 49234678416 in words is "forty-nine billion, two hundred thirty-four million, six hundred seventy-eight thousand, four hundred sixteen".