10649688192 has 480 divisors, whose sum is σ = 37573614540. Its totient is φ = 2974371840.

The previous prime is 10649688191. The next prime is 10649688197. The reversal of 10649688192 is 29188694601.

It can be written as a sum of positive squares in 2 ways, for example, as 9489877056 + 1159811136 = 97416^2 + 34056^2 .

It is a super-2 number, since 2×10649688192² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10649688191) 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, 16308538 + ... + 16309190.

Almost surely, 2^10649688192 is an apocalyptic number.

10649688192 is a gapful number since it is divisible by the number (12) 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 10649688192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786807270).

10649688192 is an abundant number, since it is smaller than the sum of its proper divisors (26923926348).

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

10649688192 is a wasteful number, since it uses less digits than its factorization.

10649688192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 10649688192 in words is "ten billion, six hundred forty-nine million, six hundred eighty-eight thousand, one hundred ninety-two".