145984718880 has 2304 divisors, whose sum is σ = 721941921792. Its totient is φ = 27097804800.

The previous prime is 145984718879. The next prime is 145984718917. The reversal of 145984718880 is 88817489541.

145984718880 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 8 + 471 + 88 + 80 = 666.

It is a super-3 number, since 3×145984718880³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4709184465 + ... + 4709184495.

It is an arithmetic number, because the mean of its divisors is an integer number (313342848).

Almost surely, 2^145984718880 is an apocalyptic number.

145984718880 is a gapful number since it is divisible by the number (10) 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 145984718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360970960896).

145984718880 is an abundant number, since it is smaller than the sum of its proper divisors (575957202912).

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

145984718880 is a wasteful number, since it uses less digits than its factorization.

145984718880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 145984718880 in words is "one hundred forty-five billion, nine hundred eighty-four million, seven hundred eighteen thousand, eight hundred eighty".