147661374168 has 576 divisors, whose sum is σ = 554071190400. Its totient is φ = 36330094080.

The previous prime is 147661374151. The next prime is 147661374241. The reversal of 147661374168 is 861473166741.

147661374168 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 613 + 7 + 4 + 16 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19904796 + ... + 19912212.

It is an arithmetic number, because the mean of its divisors is an integer number (961929150).

Almost surely, 2^147661374168 is an apocalyptic number.

147661374168 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 147661374168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277035595200).

147661374168 is an abundant number, since it is smaller than the sum of its proper divisors (406409816232).

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

147661374168 is a wasteful number, since it uses less digits than its factorization.

147661374168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 7459 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 147661374168 in words is "one hundred forty-seven billion, six hundred sixty-one million, three hundred seventy-four thousand, one hundred sixty-eight".