11377436832 has 144 divisors (see below), whose sum is σ = 33530482440. Its totient is φ = 3655120896.

The previous prime is 11377436801. The next prime is 11377436891. The reversal of 11377436832 is 23863477311.

11377436832 is a `hidden beast` number, since 1 + 137 + 7 + 436 + 83 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5381102736 + 5996334096 = 73356^2 + 77436^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7123458 + ... + 7125054.

Almost surely, 2^11377436832 is an apocalyptic number.

11377436832 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 11377436832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765241220).

11377436832 is an abundant number, since it is smaller than the sum of its proper divisors (22153045608).

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

11377436832 is a wasteful number, since it uses less digits than its factorization.

11377436832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2484 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 11377436832 in words is "eleven billion, three hundred seventy-seven million, four hundred thirty-six thousand, eight hundred thirty-two".