46224198695808 has 768 divisors, whose sum is σ = 161641907078400. Its totient is φ = 12964068569088.

The previous prime is 46224198695797. The next prime is 46224198695821. The reversal of 46224198695808 is 80859689142264.

46224198695808 is a `hidden beast` number, since 4 + 6 + 2 + 24 + 19 + 8 + 6 + 9 + 580 + 8 = 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 95 ways as a sum of consecutive naturals, for example, 2206711191 + ... + 2206732137.

It is an arithmetic number, because the mean of its divisors is an integer number (210471233175).

Almost surely, 2^{46224198695808} is an apocalyptic number.

46224198695808 is a gapful number since it is divisible by the number (48) 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 46224198695808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80820953539200).

46224198695808 is an abundant number, since it is smaller than the sum of its proper divisors (115417708382592).

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

46224198695808 is a wasteful number, since it uses less digits than its factorization.

46224198695808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21224 (or 21199 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 46224198695808 in words is "forty-six trillion, two hundred twenty-four billion, one hundred ninety-eight million, six hundred ninety-five thousand, eight hundred eight".