147783626128320 has 448 divisors, whose sum is σ = 581647612277760. Its totient is φ = 30956396838912.

The previous prime is 147783626128253. The next prime is 147783626128331. The reversal of 147783626128320 is 23821626387741.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×147783626128320³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6057924 + ... + 18228156.

It is an arithmetic number, because the mean of its divisors is an integer number (1298320563120).

Almost surely, 2^{147783626128320} is an apocalyptic number.

147783626128320 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 147783626128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290823806138880).

147783626128320 is an abundant number, since it is smaller than the sum of its proper divisors (433863986149440).

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

147783626128320 is a wasteful number, since it uses less digits than its factorization.

147783626128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12170412 (or 12170402 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 147783626128320 in words is "one hundred forty-seven trillion, seven hundred eighty-three billion, six hundred twenty-six million, one hundred twenty-eight thousand, three hundred twenty".