147801349344 has 192 divisors, whose sum is σ = 431051362560. Its totient is φ = 43964928000.

The previous prime is 147801349313. The next prime is 147801349349. The reversal of 147801349344 is 443943108741.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 147801349293 and 147801349302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147801349349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58626804 + ... + 58629324.

It is an arithmetic number, because the mean of its divisors is an integer number (2245059180).

Almost surely, 2^147801349344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147801349344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215525681280).

147801349344 is an abundant number, since it is smaller than the sum of its proper divisors (283250013216).

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

147801349344 is a wasteful number, since it uses less digits than its factorization.

147801349344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 147801349344 in words is "one hundred forty-seven billion, eight hundred one million, three hundred forty-nine thousand, three hundred forty-four".