46856247459840 has 4320 divisors, whose sum is σ = 220271307984000. Its totient is φ = 9103636168704.

The previous prime is 46856247459829. The next prime is 46856247459883. The reversal of 46856247459840 is 4895474265864.

46856247459840 is a `hidden beast` number, since 4 + 6 + 8 + 5 + 6 + 24 + 7 + 4 + 598 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 526474690516 + ... + 526474690604.

It is an arithmetic number, because the mean of its divisors is an integer number (50988728700).

Almost surely, 2^{46856247459840} is an apocalyptic number.

46856247459840 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 46856247459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110135653992000).

46856247459840 is an abundant number, since it is smaller than the sum of its proper divisors (173415060524160).

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

46856247459840 is a wasteful number, since it uses less digits than its factorization.

46856247459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 72.

The spelling of 46856247459840 in words is "forty-six trillion, eight hundred fifty-six billion, two hundred forty-seven million, four hundred fifty-nine thousand, eight hundred forty".