147901971168 has 384 divisors, whose sum is σ = 535707648000. Its totient is φ = 38741276160.

The previous prime is 147901971163. The next prime is 147901971179. The reversal of 147901971168 is 861179109741.

147901971168 is a `hidden beast` number, since 1 + 479 + 0 + 1 + 9 + 7 + 1 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147901971163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3541513 + ... + 3583031.

It is an arithmetic number, because the mean of its divisors is an integer number (1395072000).

Almost surely, 2^147901971168 is an apocalyptic number.

147901971168 is a gapful number since it is divisible by the number (18) 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 147901971168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267853824000).

147901971168 is an abundant number, since it is smaller than the sum of its proper divisors (387805676832).

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

147901971168 is a wasteful number, since it uses less digits than its factorization.

147901971168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41595 (or 41581 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 54.

The spelling of 147901971168 in words is "one hundred forty-seven billion, nine hundred one million, nine hundred seventy-one thousand, one hundred sixty-eight".