141164964864 has 1320 divisors, whose sum is σ = 566676152064. Its totient is φ = 33940684800.

The previous prime is 141164964797. The next prime is 141164964881. The reversal of 141164964864 is 468469461141.

It is a happy number.

141164964864 is a `hidden beast` number, since 1 + 4 + 11 + 64 + 96 + 486 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 141164964864.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4553708529 + ... + 4553708559.

Almost surely, 2^141164964864 is an apocalyptic number.

141164964864 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 141164964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283338076032).

141164964864 is an abundant number, since it is smaller than the sum of its proper divisors (425511187200).

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

141164964864 is a wasteful number, since it uses less digits than its factorization.

141164964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 77 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 141164964864 in words is "one hundred forty-one billion, one hundred sixty-four million, nine hundred sixty-four thousand, eight hundred sixty-four".