145452958909440 has 704 divisors, whose sum is σ = 572954285998080. Its totient is φ = 30668978257920.

The previous prime is 145452958909439. The next prime is 145452958909457. The reversal of 145452958909440 is 44909859254541.

It is a super-2 number, since 2×145452958909440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2195847841 + ... + 2195914079.

Almost surely, 2^{145452958909440} is an apocalyptic number.

145452958909440 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 145452958909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286477142999040).

145452958909440 is an abundant number, since it is smaller than the sum of its proper divisors (427501327088640).

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

145452958909440 is a wasteful number, since it uses less digits than its factorization.

145452958909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67858 (or 67840 counting only the distinct ones).

The product of its (nonzero) digits is 373248000, while the sum is 69.

The spelling of 145452958909440 in words is "one hundred forty-five trillion, four hundred fifty-two billion, nine hundred fifty-eight million, nine hundred nine thousand, four hundred forty".