49605474600 has 864 divisors, whose sum is σ = 196518672000. Its totient is φ = 11490336000.

The previous prime is 49605474571. The next prime is 49605474617. The reversal of 49605474600 is 647450694.

49605474600 is a `hidden beast` number, since 4 + 9 + 60 + 547 + 46 + 0 + 0 = 666.

It is a super-2 number, since 2×49605474600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 627917361 + ... + 627917439.

Almost surely, 2^49605474600 is an apocalyptic number.

49605474600 is a gapful number since it is divisible by the number (40) 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 49605474600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98259336000).

49605474600 is an abundant number, since it is smaller than the sum of its proper divisors (146913197400).

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

49605474600 is a wasteful number, since it uses less digits than its factorization.

49605474600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 49605474600 in words is "forty-nine billion, six hundred five million, four hundred seventy-four thousand, six hundred".