46854497881800 has 384 divisors, whose sum is σ = 184459222425600. Its totient is φ = 10708663553280.

The previous prime is 46854497881781. The next prime is 46854497881831. The reversal of 46854497881800 is 818879445864.

It is a happy number.

46854497881800 is a `hidden beast` number, since 4 + 6 + 8 + 54 + 497 + 8 + 8 + 1 + 80 + 0 = 666.

It is a super-3 number, since 3×46854497881800³ (a number of 42 digits) contains 333 as substring.

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

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, 491465737 + ... + 491561063.

It is an arithmetic number, because the mean of its divisors is an integer number (480362558400).

Almost surely, 2^{46854497881800} is an apocalyptic number.

46854497881800 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 46854497881800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92229611212800).

46854497881800 is an abundant number, since it is smaller than the sum of its proper divisors (137604724543800).

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

46854497881800 is a wasteful number, since it uses less digits than its factorization.

46854497881800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108362 (or 108347 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

It can be divided in two parts, 46854497881 and 800, that added together give a square (46854498681 = 216459²).

The spelling of 46854497881800 in words is "forty-six trillion, eight hundred fifty-four billion, four hundred ninety-seven million, eight hundred eighty-one thousand, eight hundred".