49657079808 has 720 divisors, whose sum is σ = 177932254500. Its totient is φ = 13748797440.

The previous prime is 49657079807. The next prime is 49657079809. The reversal of 49657079808 is 80897075694.

49657079808 is a `hidden beast` number, since 496 + 5 + 70 + 79 + 8 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (49657079807) and next prime (49657079809).

It can be written as a sum of positive squares in 2 ways, for example, as 38240584704 + 11416495104 = 195552^2 + 106848^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (49657079807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 333268918 + ... + 333269066.

Almost surely, 2^49657079808 is an apocalyptic number.

49657079808 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 49657079808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88966127250).

49657079808 is an abundant number, since it is smaller than the sum of its proper divisors (128275174692).

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

49657079808 is a wasteful number, since it uses less digits than its factorization.

49657079808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 49657079808 in words is "forty-nine billion, six hundred fifty-seven million, seventy-nine thousand, eight hundred eight".