145077580055808 has 432 divisors, whose sum is σ = 438914403223296. Its totient is φ = 46032785326080.

The previous prime is 145077580055803. The next prime is 145077580055833. The reversal of 145077580055808 is 808550085770541.

145077580055808 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 7 + 75 + 8 + 0 + 0 + 558 + 0 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145077580055803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13033646403 + ... + 13033657533.

Almost surely, 2^{145077580055808} is an apocalyptic number.

145077580055808 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 145077580055808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219457201611648).

145077580055808 is an abundant number, since it is smaller than the sum of its proper divisors (293836823167488).

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

145077580055808 is a wasteful number, since it uses less digits than its factorization.

145077580055808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14490 (or 14473 counting only the distinct ones).

The product of its (nonzero) digits is 62720000, while the sum is 63.

The spelling of 145077580055808 in words is "one hundred forty-five trillion, seventy-seven billion, five hundred eighty million, fifty-five thousand, eight hundred eight".