46973813483520 has 3072 divisors, whose sum is σ = 217198485504000. Its totient is φ = 9344935526400.

The previous prime is 46973813483507. The next prime is 46973813483543. The reversal of 46973813483520 is 2538431837964.

It is a happy number.

46973813483520 is a `hidden beast` number, since 4 + 6 + 9 + 73 + 8 + 1 + 34 + 8 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 71935395514 + ... + 71935396166.

It is an arithmetic number, because the mean of its divisors is an integer number (70702632000).

It is a 1-persistent number, because it is pandigital, but 2⋅46973813483520 = 93947626967040 is not.

Almost surely, 2^{46973813483520} is an apocalyptic number.

46973813483520 is a gapful number since it is divisible by the number (40) 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 46973813483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108599242752000).

46973813483520 is an abundant number, since it is smaller than the sum of its proper divisors (170224672020480).

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

46973813483520 is a wasteful number, since it uses less digits than its factorization.

46973813483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 46973813483520 in words is "forty-six trillion, nine hundred seventy-three billion, eight hundred thirteen million, four hundred eighty-three thousand, five hundred twenty".