147776461668000 has 1536 divisors, whose sum is σ = 593826818457600. Its totient is φ = 35398550016000.

The previous prime is 147776461667951. The next prime is 147776461668029. The reversal of 147776461668000 is 866164677741.

147776461668000 is a `hidden beast` number, since 1 + 4 + 7 + 7 + 7 + 6 + 4 + 616 + 6 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×147776461668000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36824433994 + ... + 36824438006.

It is an arithmetic number, because the mean of its divisors is an integer number (386606001600).

Almost surely, 2^{147776461668000} is an apocalyptic number.

147776461668000 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 147776461668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296913409228800).

147776461668000 is an abundant number, since it is smaller than the sum of its proper divisors (446050356789600).

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

147776461668000 is a wasteful number, since it uses less digits than its factorization.

147776461668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 147776461668000 in words is "one hundred forty-seven trillion, seven hundred seventy-six billion, four hundred sixty-one million, six hundred sixty-eight thousand".