11650516416 has 896 divisors, whose sum is σ = 46068203520. Its totient is φ = 2832952320.

The previous prime is 11650516411. The next prime is 11650516469. The reversal of 11650516416 is 61461505611.

11650516416 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 0 + 5 + 1 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11650516411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247883305 + ... + 247883351.

Almost surely, 2^11650516416 is an apocalyptic number.

11650516416 is a gapful number since it is divisible by the number (16) 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 11650516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23034101760).

11650516416 is an abundant number, since it is smaller than the sum of its proper divisors (34417687104).

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

11650516416 is an equidigital number, since it uses as much as digits as its factorization.

11650516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11650516416 in words is "eleven billion, six hundred fifty million, five hundred sixteen thousand, four hundred sixteen".