1481056484544 has 896 divisors, whose sum is σ = 5479904102400. Its totient is φ = 381887447040.

The previous prime is 1481056484519. The next prime is 1481056484563. The reversal of 1481056484544 is 4454846501841.

1481056484544 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 0 + 56 + 48 + 4 + 544 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1357521439 + ... + 1357522529.

It is an arithmetic number, because the mean of its divisors is an integer number (6115964400).

Almost surely, 2^{1481056484544} is an apocalyptic number.

1481056484544 is a gapful number since it is divisible by the number (14) 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 1481056484544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739952051200).

1481056484544 is an abundant number, since it is smaller than the sum of its proper divisors (3998847617856).

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

1481056484544 is a wasteful number, since it uses less digits than its factorization.

1481056484544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 1481056484544 in words is "one trillion, four hundred eighty-one billion, fifty-six million, four hundred eighty-four thousand, five hundred forty-four".