11177142048 has 360 divisors, whose sum is σ = 35834076432. Its totient is φ = 3415136256.

The previous prime is 11177142019. The next prime is 11177142049. The reversal of 11177142048 is 84024177111.

It is a super-2 number, since 2×11177142048² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11177142049) 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, 32210611 + ... + 32210957.

Almost surely, 2^11177142048 is an apocalyptic number.

11177142048 is a gapful number since it is divisible by the number (18) 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 11177142048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17917038216).

11177142048 is an abundant number, since it is smaller than the sum of its proper divisors (24656934384).

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

11177142048 is a wasteful number, since it uses less digits than its factorization.

11177142048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 11177142048 in words is "eleven billion, one hundred seventy-seven million, one hundred forty-two thousand, forty-eight".