1048953312000 has 864 divisors, whose sum is σ = 4360004760384. Its totient is φ = 239321088000.

The previous prime is 1048953311933. The next prime is 1048953312037. The reversal of 1048953312000 is 2133598401.

1048953312000 is a `hidden beast` number, since 1 + 0 + 489 + 53 + 3 + 120 + 0 + 0 = 666.

It is a super-2 number, since 2×1048953312000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53846262 + ... + 53865738.

It is an arithmetic number, because the mean of its divisors is an integer number (5046301806).

Almost surely, 2^{1048953312000} is an apocalyptic number.

1048953312000 is a gapful number since it is divisible by the number (10) 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 1048953312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180002380192).

1048953312000 is an abundant number, since it is smaller than the sum of its proper divisors (3311051448384).

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

1048953312000 is a wasteful number, since it uses less digits than its factorization.

1048953312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19542 (or 19515 counting only the distinct ones).

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

The spelling of 1048953312000 in words is "one trillion, forty-eight billion, nine hundred fifty-three million, three hundred twelve thousand".