147664218240 has 2304 divisors, whose sum is σ = 711075456000. Its totient is φ = 28575866880.

The previous prime is 147664218239. The next prime is 147664218277. The reversal of 147664218240 is 42812466741.

147664218240 is a `hidden beast` number, since 1 + 476 + 64 + 2 + 1 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2502783331 + ... + 2502783389.

It is an arithmetic number, because the mean of its divisors is an integer number (308626500).

Almost surely, 2^147664218240 is an apocalyptic number.

147664218240 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 147664218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355537728000).

147664218240 is an abundant number, since it is smaller than the sum of its proper divisors (563411237760).

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

147664218240 is a wasteful number, since it uses less digits than its factorization.

147664218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 147664218240 in words is "one hundred forty-seven billion, six hundred sixty-four million, two hundred eighteen thousand, two hundred forty".