46928934194688 has 2160 divisors, whose sum is σ = 183299309271936. Its totient is φ = 11477644738560.

The previous prime is 46928934194657. The next prime is 46928934194689. The reversal of 46928934194688 is 88649143982964.

46928934194688 is a `hidden beast` number, since 4 + 6 + 9 + 2 + 89 + 3 + 419 + 46 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46928934194689) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 47355129873 + ... + 47355130863.

Almost surely, 2^{46928934194688} is an apocalyptic number.

46928934194688 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 46928934194688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91649654635968).

46928934194688 is an abundant number, since it is smaller than the sum of its proper divisors (136370375077248).

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

46928934194688 is a wasteful number, since it uses less digits than its factorization.

46928934194688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1106 counting only the distinct ones).

The product of its digits is 5159780352, while the sum is 81.

The spelling of 46928934194688 in words is "forty-six trillion, nine hundred twenty-eight billion, nine hundred thirty-four million, one hundred ninety-four thousand, six hundred eighty-eight".