47414549145600 has 3456 divisors, whose sum is σ = 218853992448000. Its totient is φ = 9850402897920.

The previous prime is 47414549145583. The next prime is 47414549145631. The reversal of 47414549145600 is 654194541474.

47414549145600 is a `hidden beast` number, since 4 + 7 + 4 + 1 + 454 + 91 + 45 + 60 + 0 = 666.

47414549145600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 129194956617 + ... + 129194956983.

It is an arithmetic number, because the mean of its divisors is an integer number (63325808000).

Almost surely, 2^{47414549145600} is an apocalyptic number.

47414549145600 is a gapful number since it is divisible by the number (40) 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 47414549145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109426996224000).

47414549145600 is an abundant number, since it is smaller than the sum of its proper divisors (171439443302400).

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

47414549145600 is a wasteful number, since it uses less digits than its factorization.

47414549145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 47414549145600 in words is "forty-seven trillion, four hundred fourteen billion, five hundred forty-nine million, one hundred forty-five thousand, six hundred".