141464000832 has 448 divisors, whose sum is σ = 493083494400. Its totient is φ = 34677227520.

The previous prime is 141464000819. The next prime is 141464000861. The reversal of 141464000832 is 238000464141.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 141464000793 and 141464000802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87919644 + ... + 87921252.

It is an arithmetic number, because the mean of its divisors is an integer number (1100632800).

Almost surely, 2^141464000832 is an apocalyptic number.

141464000832 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 141464000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246541747200).

141464000832 is an abundant number, since it is smaller than the sum of its proper divisors (351619493568).

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

141464000832 is a wasteful number, since it uses less digits than its factorization.

141464000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 141464000832 its reverse (238000464141), we get a palindrome (379464464973).

The spelling of 141464000832 in words is "one hundred forty-one billion, four hundred sixty-four million, eight hundred thirty-two", and thus it is an aban number.