141082863264 has 480 divisors, whose sum is σ = 507411273600. Its totient is φ = 37556213760.

The previous prime is 141082863263. The next prime is 141082863287. The reversal of 141082863264 is 462368280141.

141082863264 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 8 + 2 + 8 + 632 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (141082863263) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21025542 + ... + 21032250.

It is an arithmetic number, because the mean of its divisors is an integer number (1057106820).

Almost surely, 2^141082863264 is an apocalyptic number.

141082863264 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 141082863264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253705636800).

141082863264 is an abundant number, since it is smaller than the sum of its proper divisors (366328410336).

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

141082863264 is a wasteful number, since it uses less digits than its factorization.

141082863264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 141082863264 in words is "one hundred forty-one billion, eighty-two million, eight hundred sixty-three thousand, two hundred sixty-four".