145046522880 has 1760 divisors, whose sum is σ = 660516134400. Its totient is φ = 30042980352.

The previous prime is 145046522867. The next prime is 145046522897. The reversal of 145046522880 is 88225640541.

145046522880 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 46 + 522 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 6306370549 + ... + 6306370571.

Almost surely, 2^145046522880 is an apocalyptic number.

145046522880 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 145046522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330258067200).

145046522880 is an abundant number, since it is smaller than the sum of its proper divisors (515469611520).

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

145046522880 is an equidigital number, since it uses as much as digits as its factorization.

145046522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 145046522880 in words is "one hundred forty-five billion, forty-six million, five hundred twenty-two thousand, eight hundred eighty".