145564922880 has 704 divisors, whose sum is σ = 563054042880. Its totient is φ = 35449602048.

The previous prime is 145564922869. The next prime is 145564922917. The reversal of 145564922880 is 88229465541.

145564922880 is a `hidden beast` number, since 1 + 4 + 5 + 56 + 492 + 28 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192291462 + ... + 192292218.

Almost surely, 2^145564922880 is an apocalyptic number.

145564922880 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 145564922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281527021440).

145564922880 is an abundant number, since it is smaller than the sum of its proper divisors (417489120000).

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

145564922880 is a wasteful number, since it uses less digits than its factorization.

145564922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 145564922880 in words is "one hundred forty-five billion, five hundred sixty-four million, nine hundred twenty-two thousand, eight hundred eighty".