46234183680 has 288 divisors, whose sum is σ = 165418606080. Its totient is φ = 11930664960.

The previous prime is 46234183651. The next prime is 46234183703. The reversal of 46234183680 is 8638143264.

46234183680 is a `hidden beast` number, since 4 + 623 + 4 + 18 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2848869 + ... + 2865051.

It is an arithmetic number, because the mean of its divisors is an integer number (574370160).

Almost surely, 2^46234183680 is an apocalyptic number.

46234183680 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 46234183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82709303040).

46234183680 is an abundant number, since it is smaller than the sum of its proper divisors (119184422400).

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

46234183680 is a wasteful number, since it uses less digits than its factorization.

46234183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16247 (or 16224 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 46234183680 in words is "forty-six billion, two hundred thirty-four million, one hundred eighty-three thousand, six hundred eighty".