947348532000 has 288 divisors, whose sum is σ = 3620767878000. Its totient is φ = 233193369600.

The previous prime is 947348531981. The next prime is 947348532001. The reversal of 947348532000 is 235843749.

947348532000 is a `hidden beast` number, since 9 + 4 + 73 + 48 + 532 + 0 + 0 + 0 = 666.

947348532000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 103588709904 + 843759822096 = 321852^2 + 918564^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (947348532001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544125 + ... + 1480124.

Almost surely, 2^947348532000 is an apocalyptic number.

947348532000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

947348532000 is an abundant number, since it is smaller than the sum of its proper divisors (2673419346000).

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

947348532000 is a wasteful number, since it uses less digits than its factorization.

947348532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024293 (or 2024272 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 947348532000 in words is "nine hundred forty-seven billion, three hundred forty-eight million, five hundred thirty-two thousand".