49134417696 has 768 divisors, whose sum is σ = 191832883200. Its totient is φ = 11869286400.

The previous prime is 49134417691. The next prime is 49134417697. The reversal of 49134417696 is 69671443194.

49134417696 is a `hidden beast` number, since 4 + 9 + 134 + 417 + 6 + 96 = 666.

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 not an unprimeable number, because it can be changed into a prime (49134417691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46309006 + ... + 46310066.

It is an arithmetic number, because the mean of its divisors is an integer number (249782400).

Almost surely, 2^49134417696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49134417696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95916441600).

49134417696 is an abundant number, since it is smaller than the sum of its proper divisors (142698465504).

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

49134417696 is a wasteful number, since it uses less digits than its factorization.

49134417696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1136 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

It can be divided in two parts, 4913 and 4417696, that added together give a square (4422609 = 2103²).

The spelling of 49134417696 in words is "forty-nine billion, one hundred thirty-four million, four hundred seventeen thousand, six hundred ninety-six".