46312197120 has 1320 divisors, whose sum is σ = 201268474704. Its totient is φ = 10144382976.

The previous prime is 46312197119. The next prime is 46312197131. The reversal of 46312197120 is 2179121364.

46312197120 is a `hidden beast` number, since 4 + 631 + 2 + 1 + 9 + 7 + 12 + 0 = 666.

It is a super-3 number, since 3×46312197120³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 873815014 + ... + 873815066.

Almost surely, 2^46312197120 is an apocalyptic number.

46312197120 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 46312197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100634237352).

46312197120 is an abundant number, since it is smaller than the sum of its proper divisors (154956277584).

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

46312197120 is a wasteful number, since it uses less digits than its factorization.

46312197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 46312197120 in words is "forty-six billion, three hundred twelve million, one hundred ninety-seven thousand, one hundred twenty".