46706453627328 has 672 divisors, whose sum is σ = 152775199729152. Its totient is φ = 14030616268800.

The previous prime is 46706453627297. The next prime is 46706453627347. The reversal of 46706453627328 is 82372635460764.

46706453627328 is a `hidden beast` number, since 4 + 6 + 7 + 0 + 6 + 4 + 536 + 2 + 73 + 28 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 11039102973 + ... + 11039107203.

It is an arithmetic number, because the mean of its divisors is an integer number (227344047216).

Almost surely, 2^{46706453627328} is an apocalyptic number.

46706453627328 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 46706453627328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76387599864576).

46706453627328 is an abundant number, since it is smaller than the sum of its proper divisors (106068746101824).

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

46706453627328 is a wasteful number, since it uses less digits than its factorization.

46706453627328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 46706453627328 in words is "forty-six trillion, seven hundred six billion, four hundred fifty-three million, six hundred twenty-seven thousand, three hundred twenty-eight".