46514973120 has 448 divisors, whose sum is σ = 193823539200. Its totient is φ = 9156464640.

The previous prime is 46514973119. The next prime is 46514973163. The reversal of 46514973120 is 2137941564.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1387921 + ... + 1421039.

Almost surely, 2^46514973120 is an apocalyptic number.

46514973120 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 46514973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96911769600).

46514973120 is an abundant number, since it is smaller than the sum of its proper divisors (147308566080).

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

46514973120 is a wasteful number, since it uses less digits than its factorization.

46514973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33176 (or 33166 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 46514973120 in words is "forty-six billion, five hundred fourteen million, nine hundred seventy-three thousand, one hundred twenty".