46863429984 has 480 divisors, whose sum is σ = 168147524160. Its totient is φ = 12498665472.

The previous prime is 46863429979. The next prime is 46863429989. The reversal of 46863429984 is 48992436864.

46863429984 is a `hidden beast` number, since 4 + 68 + 63 + 429 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (46863429979) and next prime (46863429989).

It is a super-3 number, since 3×46863429984³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (46863429989) 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, 42256822 + ... + 42257930.

It is an arithmetic number, because the mean of its divisors is an integer number (350307342).

Almost surely, 2^46863429984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46863429984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84073762080).

46863429984 is an abundant number, since it is smaller than the sum of its proper divisors (121284094176).

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

46863429984 is a wasteful number, since it uses less digits than its factorization.

46863429984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1275 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 46863429984 in words is "forty-six billion, eight hundred sixty-three million, four hundred twenty-nine thousand, nine hundred eighty-four".