11416477632 has 224 divisors, whose sum is σ = 36000927744. Its totient is φ = 3124224000.

The previous prime is 11416477627. The next prime is 11416477637. The reversal of 11416477632 is 23677461411.

11416477632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11416477627) and next prime (11416477637).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11416477637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4206708 + ... + 4209420.

Almost surely, 2^11416477632 is an apocalyptic number.

11416477632 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 11416477632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000463872).

11416477632 is an abundant number, since it is smaller than the sum of its proper divisors (24584450112).

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

11416477632 is a wasteful number, since it uses less digits than its factorization.

11416477632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2857 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The spelling of 11416477632 in words is "eleven billion, four hundred sixteen million, four hundred seventy-seven thousand, six hundred thirty-two".