147212314638624 has 72 divisors (see below), whose sum is σ = 418673467294992. Its totient is φ = 49066264874880.

The previous prime is 147212314638619. The next prime is 147212314638661. The reversal of 147212314638624 is 426836413212741.

147212314638624 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 1 + 2 + 3 + 1 + 4 + 6 + 3 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×147212314638624² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20330194 + ... + 26603409.

It is an arithmetic number, because the mean of its divisors is an integer number (5814909267986).

Almost surely, 2^{147212314638624} is an apocalyptic number.

It is an amenable number.

147212314638624 is an abundant number, since it is smaller than the sum of its proper divisors (271461152656368).

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

147212314638624 is a wasteful number, since it uses less digits than its factorization.

147212314638624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46944510 (or 46944499 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 147212314638624 in words is "one hundred forty-seven trillion, two hundred twelve billion, three hundred fourteen million, six hundred thirty-eight thousand, six hundred twenty-four".