10049649552 has 60 divisors (see below), whose sum is σ = 29779483500. Its totient is φ = 3152830464.

The previous prime is 10049649551. The next prime is 10049649553. The reversal of 10049649552 is 25594694001.

10049649552 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 96 + 4 + 9 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (10049649551) and next prime (10049649553).

It can be written as a sum of positive squares in 2 ways, for example, as 9289875456 + 759774096 = 96384^2 + 27564^2 .

It is a super-2 number, since 2×10049649552² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10049649498 and 10049649507.

It is not an unprimeable number, because it can be changed into a prime (10049649551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2050177 + ... + 2055072.

It is an arithmetic number, because the mean of its divisors is an integer number (496324725).

Almost surely, 2^10049649552 is an apocalyptic number.

10049649552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10049649552 is an abundant number, since it is smaller than the sum of its proper divisors (19729833948).

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

10049649552 is a wasteful number, since it uses less digits than its factorization.

10049649552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105280 (or 4105271 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10049649552 in words is "ten billion, forty-nine million, six hundred forty-nine thousand, five hundred fifty-two".