1006697922048 has 1200 divisors, whose sum is σ = 3840521065920. Its totient is φ = 260130963456.

The previous prime is 1006697922029. The next prime is 1006697922049. The reversal of 1006697922048 is 8402297966001.

It is a super-2 number, since 2×1006697922048² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1006697921985 and 1006697922003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006697922049) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1400135833 + ... + 1400136551.

Almost surely, 2^{1006697922048} is an apocalyptic number.

1006697922048 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 1006697922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920260532960).

1006697922048 is an abundant number, since it is smaller than the sum of its proper divisors (2833823143872).

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

1006697922048 is an equidigital number, since it uses as much as digits as its factorization.

1006697922048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1006697922048 in words is "one trillion, six billion, six hundred ninety-seven million, nine hundred twenty-two thousand, forty-eight".