147312447414264 has 192 divisors, whose sum is σ = 460858642489440. Its totient is φ = 42012887777280.

The previous prime is 147312447414211. The next prime is 147312447414277. The reversal of 147312447414264 is 462414744213741.

147312447414264 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 1 + 24 + 474 + 142 + 6 + 4 = 666.

It is a super-3 number, since 3×147312447414264³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 147312447414264.

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, 461292054 + ... + 461611290.

Almost surely, 2^{147312447414264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147312447414264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230429321244720).

147312447414264 is an abundant number, since it is smaller than the sum of its proper divisors (313546195075176).

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

147312447414264 is a wasteful number, since it uses less digits than its factorization.

147312447414264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353550 (or 353543 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 147312447414264 in words is "one hundred forty-seven trillion, three hundred twelve billion, four hundred forty-seven million, four hundred fourteen thousand, two hundred sixty-four".