1098033552 has 480 divisors, whose sum is σ = 4085452800. Its totient is φ = 272643840.

The previous prime is 1098033551. The next prime is 1098033557. The reversal of 1098033552 is 2553308901.

1098033552 is a `hidden beast` number, since 10 + 98 + 0 + 3 + 3 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098033551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23362393 + ... + 23362439.

It is an arithmetic number, because the mean of its divisors is an integer number (8511360).

Almost surely, 2^1098033552 is an apocalyptic number.

1098033552 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 1098033552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042726400).

1098033552 is an abundant number, since it is smaller than the sum of its proper divisors (2987419248).

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

1098033552 is a wasteful number, since it uses less digits than its factorization.

1098033552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1098033552 is about 33136.5893235861. The cubic root of 1098033552 is about 1031.6646197018.

The spelling of 1098033552 in words is "one billion, ninety-eight million, thirty-three thousand, five hundred fifty-two".