147090341664 has 384 divisors, whose sum is σ = 499057090560. Its totient is φ = 41797244160.

The previous prime is 147090341659. The next prime is 147090341677. The reversal of 147090341664 is 466143090741.

147090341664 is a `hidden beast` number, since 1 + 470 + 90 + 34 + 1 + 6 + 64 = 666.

It is a super-2 number, since 2×147090341664² (a number of 23 digits) contains 22 as substring.

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, 103365657 + ... + 103367079.

It is an arithmetic number, because the mean of its divisors is an integer number (1299627840).

Almost surely, 2^147090341664 is an apocalyptic number.

147090341664 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 147090341664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249528545280).

147090341664 is an abundant number, since it is smaller than the sum of its proper divisors (351966748896).

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

147090341664 is an equidigital number, since it uses as much as digits as its factorization.

147090341664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 147090341664 in words is "one hundred forty-seven billion, ninety million, three hundred forty-one thousand, six hundred sixty-four".