46854600552320 has 256 divisors, whose sum is σ = 122719898568960. Its totient is φ = 16964892672000.

The previous prime is 46854600552313. The next prime is 46854600552371. The reversal of 46854600552320 is 2325500645864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2933721935 + ... + 2933737905.

It is an arithmetic number, because the mean of its divisors is an integer number (479374603785).

Almost surely, 2^{46854600552320} is an apocalyptic number.

46854600552320 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 46854600552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61359949284480).

46854600552320 is an abundant number, since it is smaller than the sum of its proper divisors (75865298016640).

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

46854600552320 is a wasteful number, since it uses less digits than its factorization.

46854600552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17765 (or 17753 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 50.

The spelling of 46854600552320 in words is "forty-six trillion, eight hundred fifty-four billion, six hundred million, five hundred fifty-two thousand, three hundred twenty".