145580080464 has 400 divisors, whose sum is σ = 521836239232. Its totient is φ = 38154157056.

The previous prime is 145580080439. The next prime is 145580080489. The reversal of 145580080464 is 464080085541.

It is a happy number.

145580080464 is a `hidden beast` number, since 1 + 4 + 5 + 580 + 0 + 8 + 0 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (145580080439) and next prime (145580080489).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19219782 + ... + 19227354.

Almost surely, 2^145580080464 is an apocalyptic number.

145580080464 is a gapful number since it is divisible by the number (14) 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 145580080464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260918119616).

145580080464 is an abundant number, since it is smaller than the sum of its proper divisors (376256158768).

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

145580080464 is a wasteful number, since it uses less digits than its factorization.

145580080464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7761 counting only the distinct ones).

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

The spelling of 145580080464 in words is "one hundred forty-five billion, five hundred eighty million, eighty thousand, four hundred sixty-four".