47362346000 has 80 divisors (see below), whose sum is σ = 115104440880. Its totient is φ = 18848614400.

The previous prime is 47362345991. The next prime is 47362346023. The reversal of 47362346000 is 64326374.

It can be written as a sum of positive squares in 8 ways, for example, as 13378160896 + 33984185104 = 115664^2 + 184348^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333896 + ... + 454104.

It is an arithmetic number, because the mean of its divisors is an integer number (1438805511).

Almost surely, 2^47362346000 is an apocalyptic number.

47362346000 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 47362346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57552220440).

47362346000 is an abundant number, since it is smaller than the sum of its proper divisors (67742094880).

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

47362346000 is a wasteful number, since it uses less digits than its factorization.

47362346000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120429 (or 120413 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 47362346000 in words is "forty-seven billion, three hundred sixty-two million, three hundred forty-six thousand".