46577031160 has 128 divisors (see below), whose sum is σ = 118199139840. Its totient is φ = 16369344000.

The previous prime is 46577031139. The next prime is 46577031169. The reversal of 46577031160 is 6113077564.

It is a super-2 number, since 2×46577031160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46577031169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2448807 + ... + 2467753.

It is an arithmetic number, because the mean of its divisors is an integer number (923430780).

Almost surely, 2^46577031160 is an apocalyptic number.

46577031160 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 46577031160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59099569920).

46577031160 is an abundant number, since it is smaller than the sum of its proper divisors (71622108680).

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

46577031160 is a wasteful number, since it uses less digits than its factorization.

46577031160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19157 (or 19153 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 46577031160 in words is "forty-six billion, five hundred seventy-seven million, thirty-one thousand, one hundred sixty".