141605745051456 has 672 divisors, whose sum is σ = 493724625838080. Its totient is φ = 38982646683648.

The previous prime is 141605745051451. The next prime is 141605745051497. The reversal of 141605745051456 is 654150547506141.

141605745051456 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 0 + 5 + 74 + 5 + 0 + 514 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141605745051451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1705579161 + ... + 1705662183.

It is an arithmetic number, because the mean of its divisors is an integer number (734709264640).

Almost surely, 2^{141605745051456} is an apocalyptic number.

141605745051456 is a gapful number since it is divisible by the number (16) 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 141605745051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246862312919040).

141605745051456 is an abundant number, since it is smaller than the sum of its proper divisors (352118880786624).

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

141605745051456 is a wasteful number, since it uses less digits than its factorization.

141605745051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83228 (or 83175 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 141605745051456 in words is "one hundred forty-one trillion, six hundred five billion, seven hundred forty-five million, fifty-one thousand, four hundred fifty-six".