46488260880 has 320 divisors, whose sum is σ = 163756185600. Its totient is φ = 12118740480.

The previous prime is 46488260879. The next prime is 46488260881. The reversal of 46488260880 is 8806288464.

46488260880 is a `hidden beast` number, since 464 + 88 + 26 + 0 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (46488260879) and next prime (46488260881).

It is a super-2 number, since 2×46488260880² (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 not an unprimeable number, because it can be changed into a prime (46488260881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20114925 + ... + 20117235.

It is an arithmetic number, because the mean of its divisors is an integer number (511738080).

Almost surely, 2^46488260880 is an apocalyptic number.

46488260880 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 46488260880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81878092800).

46488260880 is an abundant number, since it is smaller than the sum of its proper divisors (117267924720).

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

46488260880 is a wasteful number, since it uses less digits than its factorization.

46488260880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 46488260880 in words is "forty-six billion, four hundred eighty-eight million, two hundred sixty thousand, eight hundred eighty".