46947600000 has 1344 divisors, whose sum is σ = 209022871680. Its totient is φ = 10264320000.

The previous prime is 46947599987. The next prime is 46947600001. The reversal of 46947600000 is 674964.

46947600000 is a `hidden beast` number, since 4 + 6 + 9 + 47 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46947600001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2041199989 + ... + 2041200011.

It is an arithmetic number, because the mean of its divisors is an integer number (155522970).

Almost surely, 2^46947600000 is an apocalyptic number.

46947600000 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 46947600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104511435840).

46947600000 is an abundant number, since it is smaller than the sum of its proper divisors (162075271680).

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

46947600000 is an frugal number, since it uses more digits than its factorization.

46947600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 46947600000 in words is "forty-six billion, nine hundred forty-seven million, six hundred thousand".