49507118100 has 432 divisors, whose sum is σ = 174571785024. Its totient is φ = 11632896000.

The previous prime is 49507118081. The next prime is 49507118119. The reversal of 49507118100 is 181170594.

49507118100 is a `hidden beast` number, since 49 + 507 + 1 + 1 + 8 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (49507118081) and next prime (49507118119).

It is a super-2 number, since 2×49507118100² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 44084139 + ... + 44085261.

Almost surely, 2^49507118100 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 49507118100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87285892512).

49507118100 is an abundant number, since it is smaller than the sum of its proper divisors (125064666924).

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

49507118100 is a wasteful number, since it uses less digits than its factorization.

49507118100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Adding to 49507118100 its reverse (181170594), we get a palindrome (49688288694).

The spelling of 49507118100 in words is "forty-nine billion, five hundred seven million, one hundred eighteen thousand, one hundred".