1011955248 has 80 divisors (see below), whose sum is σ = 2908861440. Its totient is φ = 336833856.

The previous prime is 1011955247. The next prime is 1011955279. The reversal of 1011955248 is 8425591101.

1011955248 is a `hidden beast` number, since 10 + 119 + 5 + 524 + 8 = 666.

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 (1011955247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423465 + ... + 425847.

It is an arithmetic number, because the mean of its divisors is an integer number (36360768).

Almost surely, 2^1011955248 is an apocalyptic number.

1011955248 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 1011955248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454430720).

1011955248 is an abundant number, since it is smaller than the sum of its proper divisors (1896906192).

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

1011955248 is a wasteful number, since it uses less digits than its factorization.

1011955248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1011955248 is about 31811.2440498639. The cubic root of 1011955248 is about 1003.9693064272.

The spelling of 1011955248 in words is "one billion, eleven million, nine hundred fifty-five thousand, two hundred forty-eight".