147368496337920 has 2464 divisors, whose sum is σ = 637267124317824. Its totient is φ = 32205629030400.

The previous prime is 147368496337879. The next prime is 147368496338003. The reversal of 147368496337920 is 29733694863741.

147368496337920 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 68 + 496 + 3 + 3 + 79 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 22951016310 + ... + 22951022730.

It is an arithmetic number, because the mean of its divisors is an integer number (258631138116).

Almost surely, 2^{147368496337920} is an apocalyptic number.

147368496337920 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 147368496337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318633562158912).

147368496337920 is an abundant number, since it is smaller than the sum of its proper divisors (489898627979904).

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

147368496337920 is a wasteful number, since it uses less digits than its factorization.

147368496337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 72.

The spelling of 147368496337920 in words is "one hundred forty-seven trillion, three hundred sixty-eight billion, four hundred ninety-six million, three hundred thirty-seven thousand, nine hundred twenty".