1481146445520 has 960 divisors, whose sum is σ = 6380334489600. Its totient is φ = 313885393920.

The previous prime is 1481146445491. The next prime is 1481146445533. The reversal of 1481146445520 is 255446411841.

1481146445520 is a `hidden beast` number, since 1 + 4 + 8 + 11 + 46 + 44 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94507285 + ... + 94522955.

It is an arithmetic number, because the mean of its divisors is an integer number (6646181760).

Almost surely, 2^{1481146445520} is an apocalyptic number.

1481146445520 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 1481146445520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190167244800).

1481146445520 is an abundant number, since it is smaller than the sum of its proper divisors (4899188044080).

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

1481146445520 is a wasteful number, since it uses less digits than its factorization.

1481146445520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15773 (or 15754 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 1481146445520 in words is "one trillion, four hundred eighty-one billion, one hundred forty-six million, four hundred forty-five thousand, five hundred twenty".