141667164864 has 392 divisors, whose sum is σ = 445883141760. Its totient is φ = 44565811200.

The previous prime is 141667164817. The next prime is 141667164869. The reversal of 141667164864 is 468461766141.

141667164864 is a `hidden beast` number, since 1 + 416 + 6 + 7 + 164 + 8 + 64 = 666.

It is a super-2 number, since 2×141667164864² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141667164864.

It is not an unprimeable number, because it can be changed into a prime (141667164869) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 59298582 + ... + 59300970.

Almost surely, 2^141667164864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141667164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222941570880).

141667164864 is an abundant number, since it is smaller than the sum of its proper divisors (304215976896).

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

141667164864 is an equidigital number, since it uses as much as digits as its factorization.

141667164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2466 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 141667164864 in words is "one hundred forty-one billion, six hundred sixty-seven million, one hundred sixty-four thousand, eight hundred sixty-four".