1481922948864 has 288 divisors, whose sum is σ = 4049895130624. Its totient is φ = 480942489600.

The previous prime is 1481922948859. The next prime is 1481922948887. The reversal of 1481922948864 is 4688492291841.

It is a super-3 number, since 3×1481922948864³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1481922948795 and 1481922948804.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1633872699 + ... + 1633873605.

Almost surely, 2^{1481922948864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481922948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024947565312).

1481922948864 is an abundant number, since it is smaller than the sum of its proper divisors (2567972181760).

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

1481922948864 is a wasteful number, since it uses less digits than its factorization.

1481922948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1329 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 66.

The spelling of 1481922948864 in words is "one trillion, four hundred eighty-one billion, nine hundred twenty-two million, nine hundred forty-eight thousand, eight hundred sixty-four".