1048953312 has 144 divisors (see below), whose sum is σ = 3445736112. Its totient is φ = 299151360.

The previous prime is 1048953299. The next prime is 1048953313. The reversal of 1048953312 is 2133598401.

1048953312 is a `hidden beast` number, since 104 + 8 + 9 + 533 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1048953312² = 2200606101511538688, which contains 22 as substring.

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 (1048953313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44118 + ... + 63594.

It is an arithmetic number, because the mean of its divisors is an integer number (23928723).

Almost surely, 2^1048953312 is an apocalyptic number.

1048953312 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 1048953312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722868056).

1048953312 is an abundant number, since it is smaller than the sum of its proper divisors (2396782800).

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

1048953312 is a wasteful number, since it uses less digits than its factorization.

1048953312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19521 (or 19510 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1048953312 is about 32387.5487186048. The cubic root of 1048953312 is about 1016.0585144136.

The spelling of 1048953312 in words is "one billion, forty-eight million, nine hundred fifty-three thousand, three hundred twelve".