47462054112 has 384 divisors, whose sum is σ = 168325516800. Its totient is φ = 12823142400.

The previous prime is 47462054069. The next prime is 47462054141. The reversal of 47462054112 is 21145026474.

47462054112 is a `hidden beast` number, since 47 + 4 + 62 + 0 + 541 + 12 = 666.

47462054112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47462054112² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3062062 + ... + 3077522.

It is an arithmetic number, because the mean of its divisors is an integer number (438347700).

Almost surely, 2^47462054112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47462054112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84162758400).

47462054112 is an abundant number, since it is smaller than the sum of its proper divisors (120863462688).

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

47462054112 is a wasteful number, since it uses less digits than its factorization.

47462054112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15527 (or 15513 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 47462054112 in words is "forty-seven billion, four hundred sixty-two million, fifty-four thousand, one hundred twelve".