11498977728 has 392 divisors, whose sum is σ = 39537814752. Its totient is φ = 3248750592.

The previous prime is 11498977727. The next prime is 11498977751. The reversal of 11498977728 is 82777989411.

11498977728 is a `hidden beast` number, since 1 + 1 + 498 + 9 + 77 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (11498977727) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 44742976 + ... + 44743232.

Almost surely, 2^11498977728 is an apocalyptic number.

11498977728 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 11498977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768907376).

11498977728 is an abundant number, since it is smaller than the sum of its proper divisors (28038837024).

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

11498977728 is an equidigital number, since it uses as much as digits as its factorization.

11498977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 406 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 63.

It can be divided in two parts, 1149897 and 7728, that added together give a cube (1157625 = 105³).

The spelling of 11498977728 in words is "eleven billion, four hundred ninety-eight million, nine hundred seventy-seven thousand, seven hundred twenty-eight".