47460612576100 has 72 divisors (see below), whose sum is σ = 103140990382248. Its totient is φ = 18956333491200.

The previous prime is 47460612576071. The next prime is 47460612576149. The reversal of 47460612576100 is 167521606474.

It can be written as a sum of positive squares in 12 ways, for example, as 4832144789796 + 42628467786304 = 2198214^2 + 6529048^2 .

It is a super-2 number, since 2×47460612576100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549008880 + ... + 549095320.

It is an arithmetic number, because the mean of its divisors is an integer number (1432513755309).

Almost surely, 2^{47460612576100} is an apocalyptic number.

It is an amenable number.

47460612576100 is an abundant number, since it is smaller than the sum of its proper divisors (55680377806148).

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

47460612576100 is a wasteful number, since it uses less digits than its factorization.

47460612576100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94465 (or 94458 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 47460612576100 in words is "forty-seven trillion, four hundred sixty billion, six hundred twelve million, five hundred seventy-six thousand, one hundred".