47314731611400 has 384 divisors, whose sum is σ = 161996606553600. Its totient is φ = 11328672153600.

The previous prime is 47314731611297. The next prime is 47314731611423. The reversal of 47314731611400 is 411613741374.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176924587 + ... + 177191813.

It is an arithmetic number, because the mean of its divisors is an integer number (421866162900).

Almost surely, 2^{47314731611400} is an apocalyptic number.

47314731611400 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 47314731611400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80998303276800).

47314731611400 is an abundant number, since it is smaller than the sum of its proper divisors (114681874942200).

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

47314731611400 is a wasteful number, since it uses less digits than its factorization.

47314731611400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267589 (or 267580 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 47314731611400 in words is "forty-seven trillion, three hundred fourteen billion, seven hundred thirty-one million, six hundred eleven thousand, four hundred".