46642560049008 has 360 divisors, whose sum is σ = 166183040140416. Its totient is φ = 12075989587200.

The previous prime is 46642560049003. The next prime is 46642560049031. The reversal of 46642560049008 is 80094006524664.

46642560049008 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 25 + 600 + 4 + 9 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46642560049003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23172435 + ... + 25104717.

Almost surely, 2^{46642560049008} is an apocalyptic number.

46642560049008 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 46642560049008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83091520070208).

46642560049008 is an abundant number, since it is smaller than the sum of its proper divisors (119540480091408).

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

46642560049008 is a wasteful number, since it uses less digits than its factorization.

46642560049008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932633 (or 1932617 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 46642560049008 in words is "forty-six trillion, six hundred forty-two billion, five hundred sixty million, forty-nine thousand, eight".