147390832512 has 768 divisors, whose sum is σ = 545656849920. Its totient is φ = 37082972160.

The previous prime is 147390832499. The next prime is 147390832513. The reversal of 147390832512 is 215238093741.

It is a happy number.

147390832512 is a `hidden beast` number, since 1 + 4 + 7 + 390 + 8 + 3 + 251 + 2 = 666.

It is a super-4 number, since 4×147390832512⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147390832513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503040238 + ... + 503040530.

It is an arithmetic number, because the mean of its divisors is an integer number (710490690).

Almost surely, 2^147390832512 is an apocalyptic number.

147390832512 is a gapful number since it is divisible by the number (12) 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 147390832512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272828424960).

147390832512 is an abundant number, since it is smaller than the sum of its proper divisors (398266017408).

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

147390832512 is a wasteful number, since it uses less digits than its factorization.

147390832512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 147390832512 in words is "one hundred forty-seven billion, three hundred ninety million, eight hundred thirty-two thousand, five hundred twelve".