1481677057014 has 288 divisors, whose sum is σ = 4017137937120. Its totient is φ = 361742008320.

The previous prime is 1481677057013. The next prime is 1481677057033. The reversal of 1481677057014 is 4107507761841.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481677057013) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 784370182 + ... + 784372070.

It is an arithmetic number, because the mean of its divisors is an integer number (13948395615).

Almost surely, 2^{1481677057014} is an apocalyptic number.

1481677057014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481677057014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008568968560).

1481677057014 is an abundant number, since it is smaller than the sum of its proper divisors (2535460880106).

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

1481677057014 is a wasteful number, since it uses less digits than its factorization.

1481677057014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 51.

The spelling of 1481677057014 in words is "one trillion, four hundred eighty-one billion, six hundred seventy-seven million, fifty-seven thousand, fourteen".