1821268979712 has 1248 divisors, whose sum is σ = 6852257717760. Its totient is φ = 473776128000.

The previous prime is 1821268979671. The next prime is 1821268979723. The reversal of 1821268979712 is 2179798621281.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×1821268979712² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1821268979712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7256051587 + ... + 7256051837.

It is an arithmetic number, because the mean of its divisors is an integer number (5490591120).

Almost surely, 2^{1821268979712} is an apocalyptic number.

1821268979712 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 1821268979712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426128858880).

1821268979712 is an abundant number, since it is smaller than the sum of its proper divisors (5030988738048).

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

1821268979712 is a wasteful number, since it uses less digits than its factorization.

1821268979712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 379 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 63.

The spelling of 1821268979712 in words is "one trillion, eight hundred twenty-one billion, two hundred sixty-eight million, nine hundred seventy-nine thousand, seven hundred twelve".