10561377348 has 96 divisors (see below), whose sum is σ = 27670339200. Its totient is φ = 3483482112.

The previous prime is 10561377293. The next prime is 10561377353. The reversal of 10561377348 is 84377316501.

10561377348 is a `hidden beast` number, since 10 + 561 + 3 + 7 + 73 + 4 + 8 = 666.

It is a super-3 number, since 3×10561377348³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5298240 + ... + 5300232.

It is an arithmetic number, because the mean of its divisors is an integer number (288232700).

Almost surely, 2^10561377348 is an apocalyptic number.

10561377348 is a gapful number since it is divisible by the number (18) 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 10561377348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13835169600).

10561377348 is an abundant number, since it is smaller than the sum of its proper divisors (17108961852).

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

10561377348 is a wasteful number, since it uses less digits than its factorization.

10561377348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10561377348 in words is "ten billion, five hundred sixty-one million, three hundred seventy-seven thousand, three hundred forty-eight".