147345864445440 has 640 divisors, whose sum is σ = 542770256730240. Its totient is φ = 38333823713280.

The previous prime is 147345864445427. The next prime is 147345864445501. The reversal of 147345864445440 is 44544468543741.

147345864445440 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 4 + 5 + 86 + 4 + 4 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

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, 229226572 + ... + 229868468.

It is an arithmetic number, because the mean of its divisors is an integer number (848078526141).

Almost surely, 2^{147345864445440} is an apocalyptic number.

147345864445440 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 147345864445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271385128365120).

147345864445440 is an abundant number, since it is smaller than the sum of its proper divisors (395424392284800).

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

147345864445440 is an frugal number, since it uses more digits than its factorization.

147345864445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641982 (or 641948 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 63.

The spelling of 147345864445440 in words is "one hundred forty-seven trillion, three hundred forty-five billion, eight hundred sixty-four million, four hundred forty-five thousand, four hundred forty".