145014718464 has 816 divisors, whose sum is σ = 544382951424. Its totient is φ = 36097228800.

The previous prime is 145014718423. The next prime is 145014718481. The reversal of 145014718464 is 464817410541.

145014718464 is a `hidden beast` number, since 1 + 4 + 501 + 4 + 7 + 1 + 84 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1407909837 + ... + 1407909939.

Almost surely, 2^145014718464 is an apocalyptic number.

145014718464 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 145014718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272191475712).

145014718464 is an abundant number, since it is smaller than the sum of its proper divisors (399368232960).

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

145014718464 is a wasteful number, since it uses less digits than its factorization.

145014718464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 145014718464 in words is "one hundred forty-five billion, fourteen million, seven hundred eighteen thousand, four hundred sixty-four".