145030447279872 has 648 divisors, whose sum is σ = 553722016498560. Its totient is φ = 36032402165760.

The previous prime is 145030447279853. The next prime is 145030447279889. The reversal of 145030447279872 is 278972744030541.

It is a happy number.

145030447279872 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 3 + 0 + 4 + 472 + 7 + 98 + 72 = 666.

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 71 ways as a sum of consecutive naturals, for example, 26023879 + ... + 31101497.

It is an arithmetic number, because the mean of its divisors is an integer number (854509284720).

Almost surely, 2^{145030447279872} is an apocalyptic number.

145030447279872 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 145030447279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276861008249280).

145030447279872 is an abundant number, since it is smaller than the sum of its proper divisors (408691569218688).

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

145030447279872 is a wasteful number, since it uses less digits than its factorization.

145030447279872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077689 (or 5077665 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 145030447279872 in words is "one hundred forty-five trillion, thirty billion, four hundred forty-seven million, two hundred seventy-nine thousand, eight hundred seventy-two".