46518439968 has 480 divisors, whose sum is σ = 183698444160. Its totient is φ = 11152650240.

The previous prime is 46518439967. The next prime is 46518439999. The reversal of 46518439968 is 86993481564.

46518439968 is a `hidden beast` number, since 4 + 6 + 5 + 184 + 399 + 68 = 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 Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (46518439967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2585628 + ... + 2603556.

It is an arithmetic number, because the mean of its divisors is an integer number (382705092).

Almost surely, 2^46518439968 is an apocalyptic number.

46518439968 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 46518439968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91849222080).

46518439968 is an abundant number, since it is smaller than the sum of its proper divisors (137180004192).

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

46518439968 is a wasteful number, since it uses less digits than its factorization.

46518439968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17982 (or 17965 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 46518439968 in words is "forty-six billion, five hundred eighteen million, four hundred thirty-nine thousand, nine hundred sixty-eight".