46861247692800 has 720 divisors, whose sum is σ = 176367328956000. Its totient is φ = 12191426150400.

The previous prime is 46861247692771. The next prime is 46861247692807. The reversal of 46861247692800 is 829674216864.

46861247692800 is a `hidden beast` number, since 4 + 6 + 8 + 612 + 4 + 7 + 6 + 9 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46861247692807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 453375526 + ... + 453478874.

It is an arithmetic number, because the mean of its divisors is an integer number (244954623550).

Almost surely, 2^{46861247692800} is an apocalyptic number.

46861247692800 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 46861247692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88183664478000).

46861247692800 is an abundant number, since it is smaller than the sum of its proper divisors (129506081263200).

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

46861247692800 is a wasteful number, since it uses less digits than its factorization.

46861247692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103437 (or 103400 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 46861247692800 in words is "forty-six trillion, eight hundred sixty-one billion, two hundred forty-seven million, six hundred ninety-two thousand, eight hundred".