145024494048 has 576 divisors, whose sum is σ = 495331200000. Its totient is φ = 40217619456.

The previous prime is 145024494019. The next prime is 145024494053. The reversal of 145024494048 is 840494420541.

145024494048 is a `hidden beast` number, since 14 + 502 + 4 + 4 + 94 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145024493994 and 145024494012.

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 95 ways as a sum of consecutive naturals, for example, 868410061 + ... + 868410227.

It is an arithmetic number, because the mean of its divisors is an integer number (859950000).

Almost surely, 2^145024494048 is an apocalyptic number.

145024494048 is a gapful number since it is divisible by the number (18) 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 145024494048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600000).

145024494048 is an abundant number, since it is smaller than the sum of its proper divisors (350306705952).

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

145024494048 is a wasteful number, since it uses less digits than its factorization.

145024494048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 145024494048 in words is "one hundred forty-five billion, twenty-four million, four hundred ninety-four thousand, forty-eight".