46487464920 has 1152 divisors, whose sum is σ = 191491372800. Its totient is φ = 10050822144.

The previous prime is 46487464913. The next prime is 46487464949. The reversal of 46487464920 is 2946478464.

46487464920 is a `hidden beast` number, since 46 + 48 + 74 + 6 + 492 + 0 = 666.

It is a super-2 number, since 2×46487464920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 693842727 + ... + 693842793.

It is an arithmetic number, because the mean of its divisors is an integer number (166225150).

Almost surely, 2^46487464920 is an apocalyptic number.

46487464920 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 46487464920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95745686400).

46487464920 is an abundant number, since it is smaller than the sum of its proper divisors (145003907880).

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

46487464920 is a wasteful number, since it uses less digits than its factorization.

46487464920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 46487464920 in words is "forty-six billion, four hundred eighty-seven million, four hundred sixty-four thousand, nine hundred twenty".