46131845760 has 1920 divisors, whose sum is σ = 226919024640. Its totient is φ = 8778792960.

The previous prime is 46131845693. The next prime is 46131845761. The reversal of 46131845760 is 6754813164.

46131845760 is a `hidden beast` number, since 4 + 6 + 131 + 8 + 457 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46131845761) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 363242817 + ... + 363242943.

It is an arithmetic number, because the mean of its divisors is an integer number (118186992).

Almost surely, 2^46131845760 is an apocalyptic number.

46131845760 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 46131845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113459512320).

46131845760 is an abundant number, since it is smaller than the sum of its proper divisors (180787178880).

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

46131845760 is a wasteful number, since it uses less digits than its factorization.

46131845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 46131845760 in words is "forty-six billion, one hundred thirty-one million, eight hundred forty-five thousand, seven hundred sixty".