11432768490 has 336 divisors, whose sum is σ = 36559722024. Its totient is φ = 2555815680.

The previous prime is 11432768467. The next prime is 11432768509. The reversal of 11432768490 is 9486723411.

It can be written as a sum of positive squares in 4 ways, for example, as 9202756761 + 2230011729 = 95931^2 + 47223^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11466672 + ... + 11467668.

Almost surely, 2^11432768490 is an apocalyptic number.

11432768490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11432768490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18279861012).

11432768490 is an abundant number, since it is smaller than the sum of its proper divisors (25126953534).

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

11432768490 is a wasteful number, since it uses less digits than its factorization.

11432768490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11432768490 in words is "eleven billion, four hundred thirty-two million, seven hundred sixty-eight thousand, four hundred ninety".