141429104957952 has 960 divisors, whose sum is σ = 498103171737600. Its totient is φ = 38568163737600.

The previous prime is 141429104957891. The next prime is 141429104957977. The reversal of 141429104957952 is 259759401924141.

141429104957952 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 2 + 9 + 1 + 0 + 4 + 9 + 579 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 141429104957952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3576751302 + ... + 3576790842.

It is an arithmetic number, because the mean of its divisors is an integer number (518857470560).

Almost surely, 2^{141429104957952} is an apocalyptic number.

141429104957952 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 141429104957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249051585868800).

141429104957952 is an abundant number, since it is smaller than the sum of its proper divisors (356674066779648).

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

141429104957952 is an equidigital number, since it uses as much as digits as its factorization.

141429104957952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39690 (or 39657 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 141429104957952 in words is "one hundred forty-one trillion, four hundred twenty-nine billion, one hundred four million, nine hundred fifty-seven thousand, nine hundred fifty-two".