147393108946944 has 832 divisors, whose sum is σ = 530722071014400. Its totient is φ = 39461235720192.

The previous prime is 147393108946891. The next prime is 147393108946981. The reversal of 147393108946944 is 449649801393741.

147393108946944 is a `hidden beast` number, since 1 + 4 + 7 + 39 + 3 + 10 + 89 + 469 + 44 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3013718139 + ... + 3013767045.

Almost surely, 2^{147393108946944} is an apocalyptic number.

147393108946944 is a gapful number since it is divisible by the number (14) 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 147393108946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265361035507200).

147393108946944 is an abundant number, since it is smaller than the sum of its proper divisors (383328962067456).

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

147393108946944 is a wasteful number, since it uses less digits than its factorization.

147393108946944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49193 (or 49165 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 147393108946944 in words is "one hundred forty-seven trillion, three hundred ninety-three billion, one hundred eight million, nine hundred forty-six thousand, nine hundred forty-four".