147953468160 has 576 divisors, whose sum is σ = 556981824000. Its totient is φ = 37085921280.

The previous prime is 147953468149. The next prime is 147953468161. The reversal of 147953468160 is 61864359741.

147953468160 is a `hidden beast` number, since 1 + 4 + 79 + 53 + 468 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 147953468097 and 147953468106.

It is not an unprimeable number, because it can be changed into a prime (147953468161) 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, 91272150 + ... + 91273770.

Almost surely, 2^147953468160 is an apocalyptic number.

147953468160 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 147953468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278490912000).

147953468160 is an abundant number, since it is smaller than the sum of its proper divisors (409028355840).

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

147953468160 is a wasteful number, since it uses less digits than its factorization.

147953468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 147953468160 in words is "one hundred forty-seven billion, nine hundred fifty-three million, four hundred sixty-eight thousand, one hundred sixty".