46847817413820 has 240 divisors, whose sum is σ = 150604165404000. Its totient is φ = 12183487672320.

The previous prime is 46847817413819. The next prime is 46847817413833. The reversal of 46847817413820 is 2831471874864.

46847817413820 is a `hidden beast` number, since 4 + 6 + 8 + 478 + 1 + 7 + 4 + 138 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179136916 + ... + 179398244.

It is an arithmetic number, because the mean of its divisors is an integer number (627517355850).

Almost surely, 2^{46847817413820} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46847817413820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75302082702000).

46847817413820 is an abundant number, since it is smaller than the sum of its proper divisors (103756347990180).

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

46847817413820 is a wasteful number, since it uses less digits than its factorization.

46847817413820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264090 (or 264079 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 46847817413820 in words is "forty-six trillion, eight hundred forty-seven billion, eight hundred seventeen million, four hundred thirteen thousand, eight hundred twenty".