141823968 has 96 divisors (see below), whose sum is σ = 437415552. Its totient is φ = 39667200.

The previous prime is 141823967. The next prime is 141823973. The reversal of 141823968 is 869328141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×141823968² = 40228075798530048, which contains 22 as substring.

Its product of digits (82944) is a multiple of the sum of its prime factors (10368).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141823967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8563 + ... + 18893.

It is an arithmetic number, because the mean of its divisors is an integer number (4556412).

Almost surely, 2^141823968 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 141823968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218707776).

141823968 is an abundant number, since it is smaller than the sum of its proper divisors (295591584).

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

141823968 is a wasteful number, since it uses less digits than its factorization.

141823968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10368 (or 10360 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 141823968 is about 11908.9868586711. The cubic root of 141823968 is about 521.4946739920.

The spelling of 141823968 in words is "one hundred forty-one million, eight hundred twenty-three thousand, nine hundred sixty-eight".