46730792448 has 240 divisors, whose sum is σ = 150322320720. Its totient is φ = 13888585728.

The previous prime is 46730792417. The next prime is 46730792461. The reversal of 46730792448 is 84429703764.

46730792448 is a `hidden beast` number, since 46 + 73 + 0 + 7 + 92 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46730792394 and 46730792403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1472686 + ... + 1504082.

It is an arithmetic number, because the mean of its divisors is an integer number (626343003).

Almost surely, 2^46730792448 is an apocalyptic number.

46730792448 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 46730792448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75161160360).

46730792448 is an abundant number, since it is smaller than the sum of its proper divisors (103591528272).

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

46730792448 is a wasteful number, since it uses less digits than its factorization.

46730792448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31457 (or 31438 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 46730792448 in words is "forty-six billion, seven hundred thirty million, seven hundred ninety-two thousand, four hundred forty-eight".