1481946504192 has 2112 divisors, whose sum is σ = 6069862656000. Its totient is φ = 343348346880.

The previous prime is 1481946504149. The next prime is 1481946504217. The reversal of 1481946504192 is 2914056491841.

1481946504192 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 9 + 46 + 504 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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, 13595839434 + ... + 13595839542.

It is an arithmetic number, because the mean of its divisors is an integer number (2873988000).

Almost surely, 2^{1481946504192} is an apocalyptic number.

1481946504192 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 1481946504192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034931328000).

1481946504192 is an abundant number, since it is smaller than the sum of its proper divisors (4587916151808).

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

1481946504192 is a wasteful number, since it uses less digits than its factorization.

1481946504192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1481946504192 in words is "one trillion, four hundred eighty-one billion, nine hundred forty-six million, five hundred four thousand, one hundred ninety-two".