1048691828052 has 240 divisors, whose sum is σ = 3026661126720. Its totient is φ = 316602095040.

The previous prime is 1048691828039. The next prime is 1048691828053. The reversal of 1048691828052 is 2508281968401.

1048691828052 is a `hidden beast` number, since 1 + 0 + 486 + 9 + 1 + 82 + 80 + 5 + 2 = 666.

It is a super-2 number, since 2×1048691828052² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1048691828052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048691828053) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119450199 + ... + 119458977.

It is an arithmetic number, because the mean of its divisors is an integer number (12611088028).

Almost surely, 2^{1048691828052} is an apocalyptic number.

1048691828052 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 1048691828052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513330563360).

1048691828052 is an abundant number, since it is smaller than the sum of its proper divisors (1977969298668).

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

1048691828052 is a wasteful number, since it uses less digits than its factorization.

1048691828052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9105 (or 9072 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 1048691828052 in words is "one trillion, forty-eight billion, six hundred ninety-one million, eight hundred twenty-eight thousand, fifty-two".