145481208822400 has 768 divisors, whose sum is σ = 422107633382400. Its totient is φ = 49011240960000.

The previous prime is 145481208822373. The next prime is 145481208822419. The reversal of 145481208822400 is 4228802184541.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4613894635 + ... + 4613926165.

It is an arithmetic number, because the mean of its divisors is an integer number (549619314300).

Almost surely, 2^{145481208822400} is an apocalyptic number.

145481208822400 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 145481208822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211053816691200).

145481208822400 is an abundant number, since it is smaller than the sum of its proper divisors (276626424560000).

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

145481208822400 is a wasteful number, since it uses less digits than its factorization.

145481208822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31769 (or 31752 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 49.

The spelling of 145481208822400 in words is "one hundred forty-five trillion, four hundred eighty-one billion, two hundred eight million, eight hundred twenty-two thousand, four hundred".