46380049968 has 240 divisors, whose sum is σ = 145506993504. Its totient is φ = 12680478720.

The previous prime is 46380049951. The next prime is 46380050047. The reversal of 46380049968 is 86994008364.

46380049968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46380049968² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5304096 + ... + 5312832.

Almost surely, 2^46380049968 is an apocalyptic number.

46380049968 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 46380049968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72753496752).

46380049968 is an abundant number, since it is smaller than the sum of its proper divisors (99126943536).

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

46380049968 is a wasteful number, since it uses less digits than its factorization.

46380049968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8860 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 46380049968 in words is "forty-six billion, three hundred eighty million, forty-nine thousand, nine hundred sixty-eight".