1101687552 has 216 divisors, whose sum is σ = 3678415104. Its totient is φ = 310597632.

The previous prime is 1101687547. The next prime is 1101687553. The reversal of 1101687552 is 2557861011.

1101687552 is a `hidden beast` number, since 1 + 10 + 16 + 87 + 552 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (1101687553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1338213 + ... + 1339035.

Almost surely, 2^1101687552 is an apocalyptic number.

1101687552 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 1101687552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839207552).

1101687552 is an abundant number, since it is smaller than the sum of its proper divisors (2576727552).

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

1101687552 is an equidigital number, since it uses as much as digits as its factorization.

1101687552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 1101687552 is about 33191.6789572326. The cubic root of 1101687552 is about 1032.8077325156.

The spelling of 1101687552 in words is "one billion, one hundred one million, six hundred eighty-seven thousand, five hundred fifty-two".