46856344365864 has 384 divisors, whose sum is σ = 148997062656000. Its totient is φ = 13162550284800.

The previous prime is 46856344365823. The next prime is 46856344365937.

It is a happy number.

46856344365864 is a `hidden beast` number, since 4 + 6 + 8 + 5 + 6 + 3 + 4 + 4 + 36 + 586 + 4 = 666.

46856344365864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46856344365792 and 46856344365801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90165927 + ... + 90684105.

It is an arithmetic number, because the mean of its divisors is an integer number (388013184000).

Almost surely, 2^{46856344365864} is an apocalyptic number.

46856344365864 is a gapful number since it is divisible by the number (44) 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 46856344365864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74498531328000).

46856344365864 is an abundant number, since it is smaller than the sum of its proper divisors (102140718290136).

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

46856344365864 is a wasteful number, since it uses less digits than its factorization.

46856344365864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518389 (or 518382 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 72.

The spelling of 46856344365864 in words is "forty-six trillion, eight hundred fifty-six billion, three hundred forty-four million, three hundred sixty-five thousand, eight hundred sixty-four".